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Finding the Fourth Proportional to 232,836, 321,314.09 and 132,234

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Solution

The fourth proportional to 232,836, 321,314.09 and 132,234 is: 182,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,836 : 321,314.09 = 132,234 : x
  2. Step 2: Convert to fraction form
    232,836/321,314.09 = 132,234/x
  3. Step 3: Cross multiply
    232,836x = 321,314.09 × 132,234
  4. Step 4: Simplify right side
    232,836x = 42,488,646,715.89
  5. Step 5: Solve for x
    x = 42,488,646,715.89/232,836
  6. Step 6: Final answer
    x = 182,483.15

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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.