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Finding the Fourth Proportional to 182,828.80, 274,243.20 and 132,803.20

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Solution

The fourth proportional to 182,828.80, 274,243.20 and 132,803.20 is: 199,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,828.80 : 274,243.20 = 132,803.20 : x
  2. Step 2: Convert to fraction form
    182,828.80/274,243.20 = 132,803.20/x
  3. Step 3: Cross multiply
    182,828.80x = 274,243.20 × 132,803.20
  4. Step 4: Simplify right side
    182,828.80x = 36,420,374,538.24
  5. Step 5: Solve for x
    x = 36,420,374,538.24/182,828.80
  6. Step 6: Final answer
    x = 199,204.80

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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.