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Finding the Fourth Proportional to 252,114.60, 378,171.90 and 195,033.90

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Solution

The fourth proportional to 252,114.60, 378,171.90 and 195,033.90 is: 292,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,114.60 : 378,171.90 = 195,033.90 : x
  2. Step 2: Convert to fraction form
    252,114.60/378,171.90 = 195,033.90/x
  3. Step 3: Cross multiply
    252,114.60x = 378,171.90 × 195,033.90
  4. Step 4: Simplify right side
    252,114.60x = 73,756,340,527.41
  5. Step 5: Solve for x
    x = 73,756,340,527.41/252,114.60
  6. Step 6: Final answer
    x = 292,550.85

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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.