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Finding the Fourth Proportional to 178,702.22, 267,974.60 and 83,959.33

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Solution

The fourth proportional to 178,702.22, 267,974.60 and 83,959.33 is: 125,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,702.22 : 267,974.60 = 83,959.33 : x
  2. Step 2: Convert to fraction form
    178,702.22/267,974.60 = 83,959.33/x
  3. Step 3: Cross multiply
    178,702.22x = 267,974.60 × 83,959.33
  4. Step 4: Simplify right side
    178,702.22x = 22,498,967,873.02
  5. Step 5: Solve for x
    x = 22,498,967,873.02/178,702.22
  6. Step 6: Final answer
    x = 125,902.01

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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.