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Finding the Fourth Proportional to 273,898.10, 410,847.15 and 86,909.30

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Solution

The fourth proportional to 273,898.10, 410,847.15 and 86,909.30 is: 130,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,898.10 : 410,847.15 = 86,909.30 : x
  2. Step 2: Convert to fraction form
    273,898.10/410,847.15 = 86,909.30/x
  3. Step 3: Cross multiply
    273,898.10x = 410,847.15 × 86,909.30
  4. Step 4: Simplify right side
    273,898.10x = 35,706,438,213.50
  5. Step 5: Solve for x
    x = 35,706,438,213.50/273,898.10
  6. Step 6: Final answer
    x = 130,363.95

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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.