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Finding the Fourth Proportional to 82,167.64, 123,062.68 and 52,179.68

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Solution

The fourth proportional to 82,167.64, 123,062.68 and 52,179.68 is: 78,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.64 : 123,062.68 = 52,179.68 : x
  2. Step 2: Convert to fraction form
    82,167.64/123,062.68 = 52,179.68/x
  3. Step 3: Cross multiply
    82,167.64x = 123,062.68 × 52,179.68
  4. Step 4: Simplify right side
    82,167.64x = 6,421,371,262.34
  5. Step 5: Solve for x
    x = 6,421,371,262.34/82,167.64
  6. Step 6: Final answer
    x = 78,149.64

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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.