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Finding the Fourth Proportional to 132,196.80, 182,363.97 and 84,399.90

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Solution

The fourth proportional to 132,196.80, 182,363.97 and 84,399.90 is: 116,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,196.80 : 182,363.97 = 84,399.90 : x
  2. Step 2: Convert to fraction form
    132,196.80/182,363.97 = 84,399.90/x
  3. Step 3: Cross multiply
    132,196.80x = 182,363.97 × 84,399.90
  4. Step 4: Simplify right side
    132,196.80x = 15,391,500,831.60
  5. Step 5: Solve for x
    x = 15,391,500,831.60/132,196.80
  6. Step 6: Final answer
    x = 116,428.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.