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Finding the Fourth Proportional to 252,253.96, 378,440.34 and 74,762.44

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Solution

The fourth proportional to 252,253.96, 378,440.34 and 74,762.44 is: 112,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,253.96 : 378,440.34 = 74,762.44 : x
  2. Step 2: Convert to fraction form
    252,253.96/378,440.34 = 74,762.44/x
  3. Step 3: Cross multiply
    252,253.96x = 378,440.34 × 74,762.44
  4. Step 4: Simplify right side
    252,253.96x = 28,293,123,212.83
  5. Step 5: Solve for x
    x = 28,293,123,212.83/252,253.96
  6. Step 6: Final answer
    x = 112,161.26

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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.