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Finding the Fourth Proportional to 144,854.88, 200,173.92 and 108,982.56

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Solution

The fourth proportional to 144,854.88, 200,173.92 and 108,982.56 is: 150,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,854.88 : 200,173.92 = 108,982.56 : x
  2. Step 2: Convert to fraction form
    144,854.88/200,173.92 = 108,982.56/x
  3. Step 3: Cross multiply
    144,854.88x = 200,173.92 × 108,982.56
  4. Step 4: Simplify right side
    144,854.88x = 21,815,466,246.84
  5. Step 5: Solve for x
    x = 21,815,466,246.84/144,854.88
  6. Step 6: Final answer
    x = 150,602.22

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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.