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Finding the Fourth Proportional to 106,986.80, 160,480.20 and 100,863.20

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Solution

The fourth proportional to 106,986.80, 160,480.20 and 100,863.20 is: 151,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986.80 : 160,480.20 = 100,863.20 : x
  2. Step 2: Convert to fraction form
    106,986.80/160,480.20 = 100,863.20/x
  3. Step 3: Cross multiply
    106,986.80x = 160,480.20 × 100,863.20
  4. Step 4: Simplify right side
    106,986.80x = 16,186,546,508.64
  5. Step 5: Solve for x
    x = 16,186,546,508.64/106,986.80
  6. Step 6: Final answer
    x = 151,294.80

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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.