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Finding the Fourth Proportional to 178,537.94, 267,876.60 and 78,627.92

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Solution

The fourth proportional to 178,537.94, 267,876.60 and 78,627.92 is: 117,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,537.94 : 267,876.60 = 78,627.92 : x
  2. Step 2: Convert to fraction form
    178,537.94/267,876.60 = 78,627.92/x
  3. Step 3: Cross multiply
    178,537.94x = 267,876.60 × 78,627.92
  4. Step 4: Simplify right side
    178,537.94x = 21,062,578,535.29
  5. Step 5: Solve for x
    x = 21,062,578,535.29/178,537.94
  6. Step 6: Final answer
    x = 117,972.57

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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.