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Finding the Fourth Proportional to 123,593.20, 185,389.80 and 81,529.90

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Solution

The fourth proportional to 123,593.20, 185,389.80 and 81,529.90 is: 122,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,593.20 : 185,389.80 = 81,529.90 : x
  2. Step 2: Convert to fraction form
    123,593.20/185,389.80 = 81,529.90/x
  3. Step 3: Cross multiply
    123,593.20x = 185,389.80 × 81,529.90
  4. Step 4: Simplify right side
    123,593.20x = 15,114,811,855.02
  5. Step 5: Solve for x
    x = 15,114,811,855.02/123,593.20
  6. Step 6: Final answer
    x = 122,294.85

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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.