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Finding the Fourth Proportional to 150,834.30, 226,251.45 and 100,314.60

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Solution

The fourth proportional to 150,834.30, 226,251.45 and 100,314.60 is: 150,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,834.30 : 226,251.45 = 100,314.60 : x
  2. Step 2: Convert to fraction form
    150,834.30/226,251.45 = 100,314.60/x
  3. Step 3: Cross multiply
    150,834.30x = 226,251.45 × 100,314.60
  4. Step 4: Simplify right side
    150,834.30x = 22,696,323,706.17
  5. Step 5: Solve for x
    x = 22,696,323,706.17/150,834.30
  6. Step 6: Final answer
    x = 150,471.90

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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.