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Finding the Fourth Proportional to 159,294.29, 238,807.51 and 106,542.77

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Solution

The fourth proportional to 159,294.29, 238,807.51 and 106,542.77 is: 159,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294.29 : 238,807.51 = 106,542.77 : x
  2. Step 2: Convert to fraction form
    159,294.29/238,807.51 = 106,542.77/x
  3. Step 3: Cross multiply
    159,294.29x = 238,807.51 × 106,542.77
  4. Step 4: Simplify right side
    159,294.29x = 25,443,213,612.20
  5. Step 5: Solve for x
    x = 25,443,213,612.20/159,294.29
  6. Step 6: Final answer
    x = 159,724.58

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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.