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Finding the Fourth Proportional to 304,101.88, 419,691.17 and 168,146.11

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Solution

The fourth proportional to 304,101.88, 419,691.17 and 168,146.11 is: 232,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,101.88 : 419,691.17 = 168,146.11 : x
  2. Step 2: Convert to fraction form
    304,101.88/419,691.17 = 168,146.11/x
  3. Step 3: Cross multiply
    304,101.88x = 419,691.17 × 168,146.11
  4. Step 4: Simplify right side
    304,101.88x = 70,569,438,581.83
  5. Step 5: Solve for x
    x = 70,569,438,581.83/304,101.88
  6. Step 6: Final answer
    x = 232,058.54

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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.