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Finding the Fourth Proportional to 542,119.31, 813,218.91 and 142,757.31

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Solution

The fourth proportional to 542,119.31, 813,218.91 and 142,757.31 is: 214,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,119.31 : 813,218.91 = 142,757.31 : x
  2. Step 2: Convert to fraction form
    542,119.31/813,218.91 = 142,757.31/x
  3. Step 3: Cross multiply
    542,119.31x = 813,218.91 × 142,757.31
  4. Step 4: Simplify right side
    542,119.31x = 116,092,944,032.73
  5. Step 5: Solve for x
    x = 116,092,944,032.73/542,119.31
  6. Step 6: Final answer
    x = 214,146.48

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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.