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Finding the Fourth Proportional to 252,023.60, 378,035.40 and 194,942.90

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Solution

The fourth proportional to 252,023.60, 378,035.40 and 194,942.90 is: 292,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,023.60 : 378,035.40 = 194,942.90 : x
  2. Step 2: Convert to fraction form
    252,023.60/378,035.40 = 194,942.90/x
  3. Step 3: Cross multiply
    252,023.60x = 378,035.40 × 194,942.90
  4. Step 4: Simplify right side
    252,023.60x = 73,695,317,178.66
  5. Step 5: Solve for x
    x = 73,695,317,178.66/252,023.60
  6. Step 6: Final answer
    x = 292,414.35

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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.