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Finding the Fourth Proportional to 178,512.25, 267,769.38 and 45,392.59

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Solution

The fourth proportional to 178,512.25, 267,769.38 and 45,392.59 is: 68,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,512.25 : 267,769.38 = 45,392.59 : x
  2. Step 2: Convert to fraction form
    178,512.25/267,769.38 = 45,392.59/x
  3. Step 3: Cross multiply
    178,512.25x = 267,769.38 × 45,392.59
  4. Step 4: Simplify right side
    178,512.25x = 12,154,745,680.89
  5. Step 5: Solve for x
    x = 12,154,745,680.89/178,512.25
  6. Step 6: Final answer
    x = 68,089.14

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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.