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Finding the Fourth Proportional to 159,892.56, 239,964.16 and 111,546.78

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Solution

The fourth proportional to 159,892.56, 239,964.16 and 111,546.78 is: 167,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,892.56 : 239,964.16 = 111,546.78 : x
  2. Step 2: Convert to fraction form
    159,892.56/239,964.16 = 111,546.78/x
  3. Step 3: Cross multiply
    159,892.56x = 239,964.16 × 111,546.78
  4. Step 4: Simplify right side
    159,892.56x = 26,767,229,363.40
  5. Step 5: Solve for x
    x = 26,767,229,363.40/159,892.56
  6. Step 6: Final answer
    x = 167,407.60

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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.