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Finding the Fourth Proportional to 295,858.92, 408,285.36 and 159,892.41

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Solution

The fourth proportional to 295,858.92, 408,285.36 and 159,892.41 is: 220,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,858.92 : 408,285.36 = 159,892.41 : x
  2. Step 2: Convert to fraction form
    295,858.92/408,285.36 = 159,892.41/x
  3. Step 3: Cross multiply
    295,858.92x = 408,285.36 × 159,892.41
  4. Step 4: Simplify right side
    295,858.92x = 65,281,730,178.12
  5. Step 5: Solve for x
    x = 65,281,730,178.12/295,858.92
  6. Step 6: Final answer
    x = 220,651.55

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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.