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Finding the Fourth Proportional to 178,537.56, 267,876.05 and 78,627.53

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Solution

The fourth proportional to 178,537.56, 267,876.05 and 78,627.53 is: 117,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,537.56 : 267,876.05 = 78,627.53 : x
  2. Step 2: Convert to fraction form
    178,537.56/267,876.05 = 78,627.53/x
  3. Step 3: Cross multiply
    178,537.56x = 267,876.05 × 78,627.53
  4. Step 4: Simplify right side
    178,537.56x = 21,062,432,434.21
  5. Step 5: Solve for x
    x = 21,062,432,434.21/178,537.56
  6. Step 6: Final answer
    x = 117,972.00

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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.