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Finding the Fourth Proportional to 273,862.20, 410,793.30 and 189,881.40

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Solution

The fourth proportional to 273,862.20, 410,793.30 and 189,881.40 is: 284,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,862.20 : 410,793.30 = 189,881.40 : x
  2. Step 2: Convert to fraction form
    273,862.20/410,793.30 = 189,881.40/x
  3. Step 3: Cross multiply
    273,862.20x = 410,793.30 × 189,881.40
  4. Step 4: Simplify right side
    273,862.20x = 78,002,006,914.62
  5. Step 5: Solve for x
    x = 78,002,006,914.62/273,862.20
  6. Step 6: Final answer
    x = 284,822.10

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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.