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Finding the Fourth Proportional to 127,877.20, 191,470.20 and 100,229.20

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Solution

The fourth proportional to 127,877.20, 191,470.20 and 100,229.20 is: 150,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,877.20 : 191,470.20 = 100,229.20 : x
  2. Step 2: Convert to fraction form
    127,877.20/191,470.20 = 100,229.20/x
  3. Step 3: Cross multiply
    127,877.20x = 191,470.20 × 100,229.20
  4. Step 4: Simplify right side
    127,877.20x = 19,190,904,969.84
  5. Step 5: Solve for x
    x = 19,190,904,969.84/127,877.20
  6. Step 6: Final answer
    x = 150,072.92

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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.