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Finding the Fourth Proportional to 234,394.54, 323,462.74 and 132,418.15

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Solution

The fourth proportional to 234,394.54, 323,462.74 and 132,418.15 is: 182,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,394.54 : 323,462.74 = 132,418.15 : x
  2. Step 2: Convert to fraction form
    234,394.54/323,462.74 = 132,418.15/x
  3. Step 3: Cross multiply
    234,394.54x = 323,462.74 × 132,418.15
  4. Step 4: Simplify right side
    234,394.54x = 42,832,336,962.64
  5. Step 5: Solve for x
    x = 42,832,336,962.64/234,394.54
  6. Step 6: Final answer
    x = 182,736.07

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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.