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Finding the Fourth Proportional to 182,823.80, 274,270.01 and 82,991.03

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Solution

The fourth proportional to 182,823.80, 274,270.01 and 82,991.03 is: 124,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,823.80 : 274,270.01 = 82,991.03 : x
  2. Step 2: Convert to fraction form
    182,823.80/274,270.01 = 82,991.03/x
  3. Step 3: Cross multiply
    182,823.80x = 274,270.01 × 82,991.03
  4. Step 4: Simplify right side
    182,823.80x = 22,761,948,841.71
  5. Step 5: Solve for x
    x = 22,761,948,841.71/182,823.80
  6. Step 6: Final answer
    x = 124,502.11

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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.