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Finding the Fourth Proportional to 337,781.53, 506,386.13 and 148,098.14

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Solution

The fourth proportional to 337,781.53, 506,386.13 and 148,098.14 is: 222,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,781.53 : 506,386.13 = 148,098.14 : x
  2. Step 2: Convert to fraction form
    337,781.53/506,386.13 = 148,098.14/x
  3. Step 3: Cross multiply
    337,781.53x = 506,386.13 × 148,098.14
  4. Step 4: Simplify right side
    337,781.53x = 74,994,843,434.38
  5. Step 5: Solve for x
    x = 74,994,843,434.38/337,781.53
  6. Step 6: Final answer
    x = 222,021.74

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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.