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Finding the Fourth Proportional to 182,398.16, 274,012.43 and 131,952.80

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Solution

The fourth proportional to 182,398.16, 274,012.43 and 131,952.80 is: 198,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,398.16 : 274,012.43 = 131,952.80 : x
  2. Step 2: Convert to fraction form
    182,398.16/274,012.43 = 131,952.80/x
  3. Step 3: Cross multiply
    182,398.16x = 274,012.43 × 131,952.80
  4. Step 4: Simplify right side
    182,398.16x = 36,156,705,343.48
  5. Step 5: Solve for x
    x = 36,156,705,343.48/182,398.16
  6. Step 6: Final answer
    x = 198,229.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.