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Finding the Fourth Proportional to 82,068.39, 123,103.80 and 54,167.13

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Solution

The fourth proportional to 82,068.39, 123,103.80 and 54,167.13 is: 81,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068.39 : 123,103.80 = 54,167.13 : x
  2. Step 2: Convert to fraction form
    82,068.39/123,103.80 = 54,167.13/x
  3. Step 3: Cross multiply
    82,068.39x = 123,103.80 × 54,167.13
  4. Step 4: Simplify right side
    82,068.39x = 6,668,179,538.09
  5. Step 5: Solve for x
    x = 6,668,179,538.09/82,068.39
  6. Step 6: Final answer
    x = 81,251.50

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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.