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Finding the Fourth Proportional to 234,322.32, 323,364.97 and 126,892.47

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Solution

The fourth proportional to 234,322.32, 323,364.97 and 126,892.47 is: 175,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,322.32 : 323,364.97 = 126,892.47 : x
  2. Step 2: Convert to fraction form
    234,322.32/323,364.97 = 126,892.47/x
  3. Step 3: Cross multiply
    234,322.32x = 323,364.97 × 126,892.47
  4. Step 4: Simplify right side
    234,322.32x = 41,032,579,754.78
  5. Step 5: Solve for x
    x = 41,032,579,754.78/234,322.32
  6. Step 6: Final answer
    x = 175,111.70

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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.