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Finding the Fourth Proportional to 182,549.70, 273,693.24 and 82,658.48

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Solution

The fourth proportional to 182,549.70, 273,693.24 and 82,658.48 is: 123,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,549.70 : 273,693.24 = 82,658.48 : x
  2. Step 2: Convert to fraction form
    182,549.70/273,693.24 = 82,658.48/x
  3. Step 3: Cross multiply
    182,549.70x = 273,693.24 × 82,658.48
  4. Step 4: Simplify right side
    182,549.70x = 22,623,065,836.21
  5. Step 5: Solve for x
    x = 22,623,065,836.21/182,549.70
  6. Step 6: Final answer
    x = 123,928.26

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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.