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Finding the Fourth Proportional to 232,851, 321,334.80 and 132,249

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Solution

The fourth proportional to 232,851, 321,334.80 and 132,249 is: 182,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,851 : 321,334.80 = 132,249 : x
  2. Step 2: Convert to fraction form
    232,851/321,334.80 = 132,249/x
  3. Step 3: Cross multiply
    232,851x = 321,334.80 × 132,249
  4. Step 4: Simplify right side
    232,851x = 42,496,205,965.20
  5. Step 5: Solve for x
    x = 42,496,205,965.20/232,851
  6. Step 6: Final answer
    x = 182,503.86

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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.