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Finding the Fourth Proportional to 201,204,061.80, 301,806,092.70 and 146,359,350.60

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Solution

The fourth proportional to 201,204,061.80, 301,806,092.70 and 146,359,350.60 is: 219,539,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,061.80 : 301,806,092.70 = 146,359,350.60 : x
  2. Step 2: Convert to fraction form
    201,204,061.80/301,806,092.70 = 146,359,350.60/x
  3. Step 3: Cross multiply
    201,204,061.80x = 301,806,092.70 × 146,359,350.60
  4. Step 4: Simplify right side
    201,204,061.80x = 44,172,143,734,695,400
  5. Step 5: Solve for x
    x = 44,172,143,734,695,400/201,204,061.80
  6. Step 6: Final answer
    x = 219,539,025.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.