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Finding the Fourth Proportional to 252,022.60, 378,033.90 and 194,941.90

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Solution

The fourth proportional to 252,022.60, 378,033.90 and 194,941.90 is: 292,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,022.60 : 378,033.90 = 194,941.90 : x
  2. Step 2: Convert to fraction form
    252,022.60/378,033.90 = 194,941.90/x
  3. Step 3: Cross multiply
    252,022.60x = 378,033.90 × 194,941.90
  4. Step 4: Simplify right side
    252,022.60x = 73,694,646,730.41
  5. Step 5: Solve for x
    x = 73,694,646,730.41/252,022.60
  6. Step 6: Final answer
    x = 292,412.85

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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.