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Finding the Fourth Proportional to 234,037.80, 351,093.12 and 76,229.52

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Solution

The fourth proportional to 234,037.80, 351,093.12 and 76,229.52 is: 114,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,037.80 : 351,093.12 = 76,229.52 : x
  2. Step 2: Convert to fraction form
    234,037.80/351,093.12 = 76,229.52/x
  3. Step 3: Cross multiply
    234,037.80x = 351,093.12 × 76,229.52
  4. Step 4: Simplify right side
    234,037.80x = 26,763,660,012.90
  5. Step 5: Solve for x
    x = 26,763,660,012.90/234,037.80
  6. Step 6: Final answer
    x = 114,356.14

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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.