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Finding the Fourth Proportional to 232,286.88, 320,580.18 and 130,339.89

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Solution

The fourth proportional to 232,286.88, 320,580.18 and 130,339.89 is: 179,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,286.88 : 320,580.18 = 130,339.89 : x
  2. Step 2: Convert to fraction form
    232,286.88/320,580.18 = 130,339.89/x
  3. Step 3: Cross multiply
    232,286.88x = 320,580.18 × 130,339.89
  4. Step 4: Simplify right side
    232,286.88x = 41,784,385,397.38
  5. Step 5: Solve for x
    x = 41,784,385,397.38/232,286.88
  6. Step 6: Final answer
    x = 179,882.68

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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.