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Finding the Fourth Proportional to 120,770.70, 181,350.45 and 81,501.90

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Solution

The fourth proportional to 120,770.70, 181,350.45 and 81,501.90 is: 122,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.70 : 181,350.45 = 81,501.90 : x
  2. Step 2: Convert to fraction form
    120,770.70/181,350.45 = 81,501.90/x
  3. Step 3: Cross multiply
    120,770.70x = 181,350.45 × 81,501.90
  4. Step 4: Simplify right side
    120,770.70x = 14,780,406,240.86
  5. Step 5: Solve for x
    x = 14,780,406,240.86/120,770.70
  6. Step 6: Final answer
    x = 122,384.04

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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.