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Finding the Fourth Proportional to 201,438.80, 301,830.15 and 148,294.70

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Solution

The fourth proportional to 201,438.80, 301,830.15 and 148,294.70 is: 222,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,438.80 : 301,830.15 = 148,294.70 : x
  2. Step 2: Convert to fraction form
    201,438.80/301,830.15 = 148,294.70/x
  3. Step 3: Cross multiply
    201,438.80x = 301,830.15 × 148,294.70
  4. Step 4: Simplify right side
    201,438.80x = 44,759,811,545.21
  5. Step 5: Solve for x
    x = 44,759,811,545.21/201,438.80
  6. Step 6: Final answer
    x = 222,200.55

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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.