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Finding the Fourth Proportional to 199,493.84, 299,350.92 and 81,248.42

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Solution

The fourth proportional to 199,493.84, 299,350.92 and 81,248.42 is: 121,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,493.84 : 299,350.92 = 81,248.42 : x
  2. Step 2: Convert to fraction form
    199,493.84/299,350.92 = 81,248.42/x
  3. Step 3: Cross multiply
    199,493.84x = 299,350.92 × 81,248.42
  4. Step 4: Simplify right side
    199,493.84x = 24,321,789,275.55
  5. Step 5: Solve for x
    x = 24,321,789,275.55/199,493.84
  6. Step 6: Final answer
    x = 121,917.50

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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.