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Finding the Fourth Proportional to 277,959.71, 383,584.72 and 150,635.30

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Solution

The fourth proportional to 277,959.71, 383,584.72 and 150,635.30 is: 207,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,959.71 : 383,584.72 = 150,635.30 : x
  2. Step 2: Convert to fraction form
    277,959.71/383,584.72 = 150,635.30/x
  3. Step 3: Cross multiply
    277,959.71x = 383,584.72 × 150,635.30
  4. Step 4: Simplify right side
    277,959.71x = 57,781,397,454.69
  5. Step 5: Solve for x
    x = 57,781,397,454.69/277,959.71
  6. Step 6: Final answer
    x = 207,876.88

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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.