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Finding the Fourth Proportional to 187,196.68, 280,844.28 and 67,265.74

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Solution

The fourth proportional to 187,196.68, 280,844.28 and 67,265.74 is: 100,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,196.68 : 280,844.28 = 67,265.74 : x
  2. Step 2: Convert to fraction form
    187,196.68/280,844.28 = 67,265.74/x
  3. Step 3: Cross multiply
    187,196.68x = 280,844.28 × 67,265.74
  4. Step 4: Simplify right side
    187,196.68x = 18,891,198,318.97
  5. Step 5: Solve for x
    x = 18,891,198,318.97/187,196.68
  6. Step 6: Final answer
    x = 100,916.31

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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.