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Finding the Fourth Proportional to 178,548.35, 267,838.25 and 66,229.76

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Solution

The fourth proportional to 178,548.35, 267,838.25 and 66,229.76 is: 99,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,548.35 : 267,838.25 = 66,229.76 : x
  2. Step 2: Convert to fraction form
    178,548.35/267,838.25 = 66,229.76/x
  3. Step 3: Cross multiply
    178,548.35x = 267,838.25 × 66,229.76
  4. Step 4: Simplify right side
    178,548.35x = 17,738,863,354.77
  5. Step 5: Solve for x
    x = 17,738,863,354.77/178,548.35
  6. Step 6: Final answer
    x = 99,350.48

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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.