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Finding the Fourth Proportional to 159,404.78, 239,098.93 and 59,557.10

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Solution

The fourth proportional to 159,404.78, 239,098.93 and 59,557.10 is: 89,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,404.78 : 239,098.93 = 59,557.10 : x
  2. Step 2: Convert to fraction form
    159,404.78/239,098.93 = 59,557.10/x
  3. Step 3: Cross multiply
    159,404.78x = 239,098.93 × 59,557.10
  4. Step 4: Simplify right side
    159,404.78x = 14,240,037,539.52
  5. Step 5: Solve for x
    x = 14,240,037,539.52/159,404.78
  6. Step 6: Final answer
    x = 89,332.56

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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.