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Finding the Fourth Proportional to 120,700.70, 181,245.45 and 81,431.90

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Solution

The fourth proportional to 120,700.70, 181,245.45 and 81,431.90 is: 122,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.70 : 181,245.45 = 81,431.90 : x
  2. Step 2: Convert to fraction form
    120,700.70/181,245.45 = 81,431.90/x
  3. Step 3: Cross multiply
    120,700.70x = 181,245.45 × 81,431.90
  4. Step 4: Simplify right side
    120,700.70x = 14,759,161,359.86
  5. Step 5: Solve for x
    x = 14,759,161,359.86/120,700.70
  6. Step 6: Final answer
    x = 122,279.00

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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.