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Finding the Fourth Proportional to 102,114.38, 140,770.11 and 67,601.28

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Solution

The fourth proportional to 102,114.38, 140,770.11 and 67,601.28 is: 93,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.38 : 140,770.11 = 67,601.28 : x
  2. Step 2: Convert to fraction form
    102,114.38/140,770.11 = 67,601.28/x
  3. Step 3: Cross multiply
    102,114.38x = 140,770.11 × 67,601.28
  4. Step 4: Simplify right side
    102,114.38x = 9,516,239,621.74
  5. Step 5: Solve for x
    x = 9,516,239,621.74/102,114.38
  6. Step 6: Final answer
    x = 93,191.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.