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Finding the Fourth Proportional to 234,224.55, 323,217.63 and 137,414.95

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Solution

The fourth proportional to 234,224.55, 323,217.63 and 137,414.95 is: 189,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,224.55 : 323,217.63 = 137,414.95 : x
  2. Step 2: Convert to fraction form
    234,224.55/323,217.63 = 137,414.95/x
  3. Step 3: Cross multiply
    234,224.55x = 323,217.63 × 137,414.95
  4. Step 4: Simplify right side
    234,224.55x = 44,414,933,657.52
  5. Step 5: Solve for x
    x = 44,414,933,657.52/234,224.55
  6. Step 6: Final answer
    x = 189,625.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.