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Finding the Fourth Proportional to 185,691.71, 256,255.62 and 109,214.02

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Solution

The fourth proportional to 185,691.71, 256,255.62 and 109,214.02 is: 150,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,691.71 : 256,255.62 = 109,214.02 : x
  2. Step 2: Convert to fraction form
    185,691.71/256,255.62 = 109,214.02/x
  3. Step 3: Cross multiply
    185,691.71x = 256,255.62 × 109,214.02
  4. Step 4: Simplify right side
    185,691.71x = 27,986,706,318.56
  5. Step 5: Solve for x
    x = 27,986,706,318.56/185,691.71
  6. Step 6: Final answer
    x = 150,715.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.