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Finding the Fourth Proportional to 120,508, 180,825.03 and 87,500.71

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Solution

The fourth proportional to 120,508, 180,825.03 and 87,500.71 is: 131,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508 : 180,825.03 = 87,500.71 : x
  2. Step 2: Convert to fraction form
    120,508/180,825.03 = 87,500.71/x
  3. Step 3: Cross multiply
    120,508x = 180,825.03 × 87,500.71
  4. Step 4: Simplify right side
    120,508x = 15,822,318,510.77
  5. Step 5: Solve for x
    x = 15,822,318,510.77/120,508
  6. Step 6: Final answer
    x = 131,296.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.