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Finding the Fourth Proportional to 123,541.20, 185,311.80 and 81,477.90

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Solution

The fourth proportional to 123,541.20, 185,311.80 and 81,477.90 is: 122,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,541.20 : 185,311.80 = 81,477.90 : x
  2. Step 2: Convert to fraction form
    123,541.20/185,311.80 = 81,477.90/x
  3. Step 3: Cross multiply
    123,541.20x = 185,311.80 × 81,477.90
  4. Step 4: Simplify right side
    123,541.20x = 15,098,816,309.22
  5. Step 5: Solve for x
    x = 15,098,816,309.22/123,541.20
  6. Step 6: Final answer
    x = 122,216.85

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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.