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Finding the Fourth Proportional to 199,472.80, 299,222.70 and 81,146.20

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Solution

The fourth proportional to 199,472.80, 299,222.70 and 81,146.20 is: 121,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,472.80 : 299,222.70 = 81,146.20 : x
  2. Step 2: Convert to fraction form
    199,472.80/299,222.70 = 81,146.20/x
  3. Step 3: Cross multiply
    199,472.80x = 299,222.70 × 81,146.20
  4. Step 4: Simplify right side
    199,472.80x = 24,280,785,058.74
  5. Step 5: Solve for x
    x = 24,280,785,058.74/199,472.80
  6. Step 6: Final answer
    x = 121,724.79

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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.