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Finding the Fourth Proportional to 178,642.59, 267,760.04 and 71,958.22

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Solution

The fourth proportional to 178,642.59, 267,760.04 and 71,958.22 is: 107,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,642.59 : 267,760.04 = 71,958.22 : x
  2. Step 2: Convert to fraction form
    178,642.59/267,760.04 = 71,958.22/x
  3. Step 3: Cross multiply
    178,642.59x = 267,760.04 × 71,958.22
  4. Step 4: Simplify right side
    178,642.59x = 19,267,535,865.53
  5. Step 5: Solve for x
    x = 19,267,535,865.53/178,642.59
  6. Step 6: Final answer
    x = 107,855.22

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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.