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Finding the Fourth Proportional to 82,116.60, 123,029.10 and 76,867.80

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Solution

The fourth proportional to 82,116.60, 123,029.10 and 76,867.80 is: 115,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.60 : 123,029.10 = 76,867.80 : x
  2. Step 2: Convert to fraction form
    82,116.60/123,029.10 = 76,867.80/x
  3. Step 3: Cross multiply
    82,116.60x = 123,029.10 × 76,867.80
  4. Step 4: Simplify right side
    82,116.60x = 9,456,976,252.98
  5. Step 5: Solve for x
    x = 9,456,976,252.98/82,116.60
  6. Step 6: Final answer
    x = 115,165.22

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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.