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Finding the Fourth Proportional to 102,675.38, 141,691.66 and 59,661.14

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Solution

The fourth proportional to 102,675.38, 141,691.66 and 59,661.14 is: 82,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,675.38 : 141,691.66 = 59,661.14 : x
  2. Step 2: Convert to fraction form
    102,675.38/141,691.66 = 59,661.14/x
  3. Step 3: Cross multiply
    102,675.38x = 141,691.66 × 59,661.14
  4. Step 4: Simplify right side
    102,675.38x = 8,453,485,964.09
  5. Step 5: Solve for x
    x = 8,453,485,964.09/102,675.38
  6. Step 6: Final answer
    x = 82,332.16

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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.