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Finding the Fourth Proportional to 217,189.35, 299,721.40 and 132,306.41

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Solution

The fourth proportional to 217,189.35, 299,721.40 and 132,306.41 is: 182,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,189.35 : 299,721.40 = 132,306.41 : x
  2. Step 2: Convert to fraction form
    217,189.35/299,721.40 = 132,306.41/x
  3. Step 3: Cross multiply
    217,189.35x = 299,721.40 × 132,306.41
  4. Step 4: Simplify right side
    217,189.35x = 39,655,061,772.64
  5. Step 5: Solve for x
    x = 39,655,061,772.64/217,189.35
  6. Step 6: Final answer
    x = 182,582.90

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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.