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Finding the Fourth Proportional to 178,189.44, 267,371.98 and 83,426.04

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Solution

The fourth proportional to 178,189.44, 267,371.98 and 83,426.04 is: 125,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,189.44 : 267,371.98 = 83,426.04 : x
  2. Step 2: Convert to fraction form
    178,189.44/267,371.98 = 83,426.04/x
  3. Step 3: Cross multiply
    178,189.44x = 267,371.98 × 83,426.04
  4. Step 4: Simplify right side
    178,189.44x = 22,305,785,498.36
  5. Step 5: Solve for x
    x = 22,305,785,498.36/178,189.44
  6. Step 6: Final answer
    x = 125,180.18

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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.