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Finding the Fourth Proportional to 178,124.88, 267,204.88 and 51,766.24

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Solution

The fourth proportional to 178,124.88, 267,204.88 and 51,766.24 is: 77,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,124.88 : 267,204.88 = 51,766.24 : x
  2. Step 2: Convert to fraction form
    178,124.88/267,204.88 = 51,766.24/x
  3. Step 3: Cross multiply
    178,124.88x = 267,204.88 × 51,766.24
  4. Step 4: Simplify right side
    178,124.88x = 13,832,191,947.25
  5. Step 5: Solve for x
    x = 13,832,191,947.25/178,124.88
  6. Step 6: Final answer
    x = 77,654.46

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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.