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Finding the Fourth Proportional to 178,067.40, 267,127.52 and 51,708.72

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Solution

The fourth proportional to 178,067.40, 267,127.52 and 51,708.72 is: 77,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,067.40 : 267,127.52 = 51,708.72 : x
  2. Step 2: Convert to fraction form
    178,067.40/267,127.52 = 51,708.72/x
  3. Step 3: Cross multiply
    178,067.40x = 267,127.52 × 51,708.72
  4. Step 4: Simplify right side
    178,067.40x = 13,812,822,135.97
  5. Step 5: Solve for x
    x = 13,812,822,135.97/178,067.40
  6. Step 6: Final answer
    x = 77,570.75

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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.