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Finding the Fourth Proportional to 227,765.97, 341,650.17 and 149,376.60

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Solution

The fourth proportional to 227,765.97, 341,650.17 and 149,376.60 is: 224,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,765.97 : 341,650.17 = 149,376.60 : x
  2. Step 2: Convert to fraction form
    227,765.97/341,650.17 = 149,376.60/x
  3. Step 3: Cross multiply
    227,765.97x = 341,650.17 × 149,376.60
  4. Step 4: Simplify right side
    227,765.97x = 51,034,540,784.02
  5. Step 5: Solve for x
    x = 51,034,540,784.02/227,765.97
  6. Step 6: Final answer
    x = 224,065.70

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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.