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Finding the Fourth Proportional to 299,177.20, 412,856.56 and 163,211.40

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Solution

The fourth proportional to 299,177.20, 412,856.56 and 163,211.40 is: 225,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,177.20 : 412,856.56 = 163,211.40 : x
  2. Step 2: Convert to fraction form
    299,177.20/412,856.56 = 163,211.40/x
  3. Step 3: Cross multiply
    299,177.20x = 412,856.56 × 163,211.40
  4. Step 4: Simplify right side
    299,177.20x = 67,382,897,156.78
  5. Step 5: Solve for x
    x = 67,382,897,156.78/299,177.20
  6. Step 6: Final answer
    x = 225,227.38

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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.