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Finding the Fourth Proportional to 144,017.28, 198,656.46 and 92,949.84

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Solution

The fourth proportional to 144,017.28, 198,656.46 and 92,949.84 is: 128,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,017.28 : 198,656.46 = 92,949.84 : x
  2. Step 2: Convert to fraction form
    144,017.28/198,656.46 = 92,949.84/x
  3. Step 3: Cross multiply
    144,017.28x = 198,656.46 × 92,949.84
  4. Step 4: Simplify right side
    144,017.28x = 18,465,086,171.97
  5. Step 5: Solve for x
    x = 18,465,086,171.97/144,017.28
  6. Step 6: Final answer
    x = 128,214.38

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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.