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Finding the Fourth Proportional to 159,823.70, 239,626.20 and 75,624.20

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Solution

The fourth proportional to 159,823.70, 239,626.20 and 75,624.20 is: 113,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,823.70 : 239,626.20 = 75,624.20 : x
  2. Step 2: Convert to fraction form
    159,823.70/239,626.20 = 75,624.20/x
  3. Step 3: Cross multiply
    159,823.70x = 239,626.20 × 75,624.20
  4. Step 4: Simplify right side
    159,823.70x = 18,121,539,674.04
  5. Step 5: Solve for x
    x = 18,121,539,674.04/159,823.70
  6. Step 6: Final answer
    x = 113,384.56

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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.