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Finding the Fourth Proportional to 252,327.32, 378,512.84 and 92,446.68

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Solution

The fourth proportional to 252,327.32, 378,512.84 and 92,446.68 is: 138,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,327.32 : 378,512.84 = 92,446.68 : x
  2. Step 2: Convert to fraction form
    252,327.32/378,512.84 = 92,446.68/x
  3. Step 3: Cross multiply
    252,327.32x = 378,512.84 × 92,446.68
  4. Step 4: Simplify right side
    252,327.32x = 34,992,255,395.37
  5. Step 5: Solve for x
    x = 34,992,255,395.37/252,327.32
  6. Step 6: Final answer
    x = 138,678.03

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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.