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Finding the Fourth Proportional to 295,861.92, 408,289.50 and 159,895.41

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Solution

The fourth proportional to 295,861.92, 408,289.50 and 159,895.41 is: 220,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,861.92 : 408,289.50 = 159,895.41 : x
  2. Step 2: Convert to fraction form
    295,861.92/408,289.50 = 159,895.41/x
  3. Step 3: Cross multiply
    295,861.92x = 408,289.50 × 159,895.41
  4. Step 4: Simplify right side
    295,861.92x = 65,283,617,001.20
  5. Step 5: Solve for x
    x = 65,283,617,001.20/295,861.92
  6. Step 6: Final answer
    x = 220,655.69

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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.