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Finding the Fourth Proportional to 159,842.08, 239,686.62 and 75,531.88

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Solution

The fourth proportional to 159,842.08, 239,686.62 and 75,531.88 is: 113,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,842.08 : 239,686.62 = 75,531.88 : x
  2. Step 2: Convert to fraction form
    159,842.08/239,686.62 = 75,531.88/x
  3. Step 3: Cross multiply
    159,842.08x = 239,686.62 × 75,531.88
  4. Step 4: Simplify right side
    159,842.08x = 18,103,981,019.45
  5. Step 5: Solve for x
    x = 18,103,981,019.45/159,842.08
  6. Step 6: Final answer
    x = 113,261.67

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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.