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Finding the Fourth Proportional to 178,608, 267,951.18 and 52,258.94

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Solution

The fourth proportional to 178,608, 267,951.18 and 52,258.94 is: 78,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,608 : 267,951.18 = 52,258.94 : x
  2. Step 2: Convert to fraction form
    178,608/267,951.18 = 52,258.94/x
  3. Step 3: Cross multiply
    178,608x = 267,951.18 × 52,258.94
  4. Step 4: Simplify right side
    178,608x = 14,002,843,298.79
  5. Step 5: Solve for x
    x = 14,002,843,298.79/178,608
  6. Step 6: Final answer
    x = 78,399.87

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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.