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Finding the Fourth Proportional to 201,229.65, 301,841.37 and 51,468.62

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Solution

The fourth proportional to 201,229.65, 301,841.37 and 51,468.62 is: 77,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.65 : 301,841.37 = 51,468.62 : x
  2. Step 2: Convert to fraction form
    201,229.65/301,841.37 = 51,468.62/x
  3. Step 3: Cross multiply
    201,229.65x = 301,841.37 × 51,468.62
  4. Step 4: Simplify right side
    201,229.65x = 15,535,357,263.60
  5. Step 5: Solve for x
    x = 15,535,357,263.60/201,229.65
  6. Step 6: Final answer
    x = 77,202.13

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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.