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Finding the Fourth Proportional to 149,636.14, 224,454.46 and 119,839.88

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Solution

The fourth proportional to 149,636.14, 224,454.46 and 119,839.88 is: 179,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,636.14 : 224,454.46 = 119,839.88 : x
  2. Step 2: Convert to fraction form
    149,636.14/224,454.46 = 119,839.88/x
  3. Step 3: Cross multiply
    149,636.14x = 224,454.46 × 119,839.88
  4. Step 4: Simplify right side
    149,636.14x = 26,898,595,252.27
  5. Step 5: Solve for x
    x = 26,898,595,252.27/149,636.14
  6. Step 6: Final answer
    x = 179,760.02

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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.