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Finding the Fourth Proportional to 234,044.64, 322,981.32 and 126,614.34

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Solution

The fourth proportional to 234,044.64, 322,981.32 and 126,614.34 is: 174,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,044.64 : 322,981.32 = 126,614.34 : x
  2. Step 2: Convert to fraction form
    234,044.64/322,981.32 = 126,614.34/x
  3. Step 3: Cross multiply
    234,044.64x = 322,981.32 × 126,614.34
  4. Step 4: Simplify right side
    234,044.64x = 40,894,067,138.93
  5. Step 5: Solve for x
    x = 40,894,067,138.93/234,044.64
  6. Step 6: Final answer
    x = 174,727.64

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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.