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Finding the Fourth Proportional to 234,934.82, 324,212.47 and 127,505.78

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Solution

The fourth proportional to 234,934.82, 324,212.47 and 127,505.78 is: 175,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,934.82 : 324,212.47 = 127,505.78 : x
  2. Step 2: Convert to fraction form
    234,934.82/324,212.47 = 127,505.78/x
  3. Step 3: Cross multiply
    234,934.82x = 324,212.47 × 127,505.78
  4. Step 4: Simplify right side
    234,934.82x = 41,338,963,873.08
  5. Step 5: Solve for x
    x = 41,338,963,873.08/234,934.82
  6. Step 6: Final answer
    x = 175,959.29

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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.