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Finding the Fourth Proportional to 159,840.56, 239,727.72 and 75,564.92

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Solution

The fourth proportional to 159,840.56, 239,727.72 and 75,564.92 is: 113,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,840.56 : 239,727.72 = 75,564.92 : x
  2. Step 2: Convert to fraction form
    159,840.56/239,727.72 = 75,564.92/x
  3. Step 3: Cross multiply
    159,840.56x = 239,727.72 × 75,564.92
  4. Step 4: Simplify right side
    159,840.56x = 18,115,005,983.58
  5. Step 5: Solve for x
    x = 18,115,005,983.58/159,840.56
  6. Step 6: Final answer
    x = 113,331.72

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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.