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Finding the Fourth Proportional to 232,866, 321,355.08 and 126,882

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Solution

The fourth proportional to 232,866, 321,355.08 and 126,882 is: 175,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,866 : 321,355.08 = 126,882 : x
  2. Step 2: Convert to fraction form
    232,866/321,355.08 = 126,882/x
  3. Step 3: Cross multiply
    232,866x = 321,355.08 × 126,882
  4. Step 4: Simplify right side
    232,866x = 40,774,175,260.56
  5. Step 5: Solve for x
    x = 40,774,175,260.56/232,866
  6. Step 6: Final answer
    x = 175,097.16

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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.