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Finding the Fourth Proportional to 142,385.76, 213,966.63 and 75,873.42

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Solution

The fourth proportional to 142,385.76, 213,966.63 and 75,873.42 is: 114,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,385.76 : 213,966.63 = 75,873.42 : x
  2. Step 2: Convert to fraction form
    142,385.76/213,966.63 = 75,873.42/x
  3. Step 3: Cross multiply
    142,385.76x = 213,966.63 × 75,873.42
  4. Step 4: Simplify right side
    142,385.76x = 16,234,379,983.97
  5. Step 5: Solve for x
    x = 16,234,379,983.97/142,385.76
  6. Step 6: Final answer
    x = 114,016.88

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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.