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Finding the Fourth Proportional to 142,529.44, 213,730.96 and 75,957.16

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Solution

The fourth proportional to 142,529.44, 213,730.96 and 75,957.16 is: 113,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,529.44 : 213,730.96 = 75,957.16 : x
  2. Step 2: Convert to fraction form
    142,529.44/213,730.96 = 75,957.16/x
  3. Step 3: Cross multiply
    142,529.44x = 213,730.96 × 75,957.16
  4. Step 4: Simplify right side
    142,529.44x = 16,234,396,725.67
  5. Step 5: Solve for x
    x = 16,234,396,725.67/142,529.44
  6. Step 6: Final answer
    x = 113,902.06

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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.