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Finding the Fourth Proportional to 106,206.64, 160,019 and 96,086.88

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Solution

The fourth proportional to 106,206.64, 160,019 and 96,086.88 is: 144,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.64 : 160,019 = 96,086.88 : x
  2. Step 2: Convert to fraction form
    106,206.64/160,019 = 96,086.88/x
  3. Step 3: Cross multiply
    106,206.64x = 160,019 × 96,086.88
  4. Step 4: Simplify right side
    106,206.64x = 15,375,726,450.72
  5. Step 5: Solve for x
    x = 15,375,726,450.72/106,206.64
  6. Step 6: Final answer
    x = 144,771.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.