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Finding the Fourth Proportional to 144,885.98, 199,952.25 and 81,227.90

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Solution

The fourth proportional to 144,885.98, 199,952.25 and 81,227.90 is: 112,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,885.98 : 199,952.25 = 81,227.90 : x
  2. Step 2: Convert to fraction form
    144,885.98/199,952.25 = 81,227.90/x
  3. Step 3: Cross multiply
    144,885.98x = 199,952.25 × 81,227.90
  4. Step 4: Simplify right side
    144,885.98x = 16,241,701,367.78
  5. Step 5: Solve for x
    x = 16,241,701,367.78/144,885.98
  6. Step 6: Final answer
    x = 112,099.88

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1.5x scale

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.