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Finding the Fourth Proportional to 82,616.80, 123,925.20 and 73,631.20

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Solution

The fourth proportional to 82,616.80, 123,925.20 and 73,631.20 is: 110,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616.80 : 123,925.20 = 73,631.20 : x
  2. Step 2: Convert to fraction form
    82,616.80/123,925.20 = 73,631.20/x
  3. Step 3: Cross multiply
    82,616.80x = 123,925.20 × 73,631.20
  4. Step 4: Simplify right side
    82,616.80x = 9,124,761,186.24
  5. Step 5: Solve for x
    x = 9,124,761,186.24/82,616.80
  6. Step 6: Final answer
    x = 110,446.80

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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.