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Finding the Fourth Proportional to 295,296.80, 442,945.20 and 108,381.20

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Solution

The fourth proportional to 295,296.80, 442,945.20 and 108,381.20 is: 162,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.80 : 442,945.20 = 108,381.20 : x
  2. Step 2: Convert to fraction form
    295,296.80/442,945.20 = 108,381.20/x
  3. Step 3: Cross multiply
    295,296.80x = 442,945.20 × 108,381.20
  4. Step 4: Simplify right side
    295,296.80x = 48,006,932,310.24
  5. Step 5: Solve for x
    x = 48,006,932,310.24/295,296.80
  6. Step 6: Final answer
    x = 162,571.80

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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.