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Finding the Fourth Proportional to 234,008.64, 322,932.15 and 126,578.34

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Solution

The fourth proportional to 234,008.64, 322,932.15 and 126,578.34 is: 174,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,008.64 : 322,932.15 = 126,578.34 : x
  2. Step 2: Convert to fraction form
    234,008.64/322,932.15 = 126,578.34/x
  3. Step 3: Cross multiply
    234,008.64x = 322,932.15 × 126,578.34
  4. Step 4: Simplify right side
    234,008.64x = 40,876,215,479.63
  5. Step 5: Solve for x
    x = 40,876,215,479.63/234,008.64
  6. Step 6: Final answer
    x = 174,678.23

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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.