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Finding the Fourth Proportional to 178,780.57, 267,942.87 and 83,801.25

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Solution

The fourth proportional to 178,780.57, 267,942.87 and 83,801.25 is: 125,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,780.57 : 267,942.87 = 83,801.25 : x
  2. Step 2: Convert to fraction form
    178,780.57/267,942.87 = 83,801.25/x
  3. Step 3: Cross multiply
    178,780.57x = 267,942.87 × 83,801.25
  4. Step 4: Simplify right side
    178,780.57x = 22,453,947,434.59
  5. Step 5: Solve for x
    x = 22,453,947,434.59/178,780.57
  6. Step 6: Final answer
    x = 125,595.01

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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.