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Finding the Fourth Proportional to 178,049.93, 267,101.28 and 51,691.21

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Solution

The fourth proportional to 178,049.93, 267,101.28 and 51,691.21 is: 77,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,049.93 : 267,101.28 = 51,691.21 : x
  2. Step 2: Convert to fraction form
    178,049.93/267,101.28 = 51,691.21/x
  3. Step 3: Cross multiply
    178,049.93x = 267,101.28 × 51,691.21
  4. Step 4: Simplify right side
    178,049.93x = 13,806,787,688.00
  5. Step 5: Solve for x
    x = 13,806,787,688.00/178,049.93
  6. Step 6: Final answer
    x = 77,544.47

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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.