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Finding the Fourth Proportional to 178,545.28, 267,905.28 and 71,924.80

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Solution

The fourth proportional to 178,545.28, 267,905.28 and 71,924.80 is: 107,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,545.28 : 267,905.28 = 71,924.80 : x
  2. Step 2: Convert to fraction form
    178,545.28/267,905.28 = 71,924.80/x
  3. Step 3: Cross multiply
    178,545.28x = 267,905.28 × 71,924.80
  4. Step 4: Simplify right side
    178,545.28x = 19,269,033,682.94
  5. Step 5: Solve for x
    x = 19,269,033,682.94/178,545.28
  6. Step 6: Final answer
    x = 107,922.39

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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.