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Finding the Fourth Proportional to 234,732.02, 323,930.34 and 127,302.02

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Solution

The fourth proportional to 234,732.02, 323,930.34 and 127,302.02 is: 175,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,732.02 : 323,930.34 = 127,302.02 : x
  2. Step 2: Convert to fraction form
    234,732.02/323,930.34 = 127,302.02/x
  3. Step 3: Cross multiply
    234,732.02x = 323,930.34 × 127,302.02
  4. Step 4: Simplify right side
    234,732.02x = 41,236,986,621.29
  5. Step 5: Solve for x
    x = 41,236,986,621.29/234,732.02
  6. Step 6: Final answer
    x = 175,676.87

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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.