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Finding the Fourth Proportional to 120,697.68, 181,046.16 and 37,591.68

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Solution

The fourth proportional to 120,697.68, 181,046.16 and 37,591.68 is: 56,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697.68 : 181,046.16 = 37,591.68 : x
  2. Step 2: Convert to fraction form
    120,697.68/181,046.16 = 37,591.68/x
  3. Step 3: Cross multiply
    120,697.68x = 181,046.16 × 37,591.68
  4. Step 4: Simplify right side
    120,697.68x = 6,805,829,311.95
  5. Step 5: Solve for x
    x = 6,805,829,311.95/120,697.68
  6. Step 6: Final answer
    x = 56,387.41

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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.