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Finding the Fourth Proportional to 182,033.32, 273,101.82 and 132,163.24

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Solution

The fourth proportional to 182,033.32, 273,101.82 and 132,163.24 is: 198,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,033.32 : 273,101.82 = 132,163.24 : x
  2. Step 2: Convert to fraction form
    182,033.32/273,101.82 = 132,163.24/x
  3. Step 3: Cross multiply
    182,033.32x = 273,101.82 × 132,163.24
  4. Step 4: Simplify right side
    182,033.32x = 36,094,021,381.10
  5. Step 5: Solve for x
    x = 36,094,021,381.10/182,033.32
  6. Step 6: Final answer
    x = 198,282.50

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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.