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Finding the Fourth Proportional to 102,519.38, 141,534.87 and 66,691.46

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Solution

The fourth proportional to 102,519.38, 141,534.87 and 66,691.46 is: 92,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519.38 : 141,534.87 = 66,691.46 : x
  2. Step 2: Convert to fraction form
    102,519.38/141,534.87 = 66,691.46/x
  3. Step 3: Cross multiply
    102,519.38x = 141,534.87 × 66,691.46
  4. Step 4: Simplify right side
    102,519.38x = 9,439,167,121.21
  5. Step 5: Solve for x
    x = 9,439,167,121.21/102,519.38
  6. Step 6: Final answer
    x = 92,072.03

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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.