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Finding the Fourth Proportional to 265,194.38, 397,804.68 and 75,682.68

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Solution

The fourth proportional to 265,194.38, 397,804.68 and 75,682.68 is: 113,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194.38 : 397,804.68 = 75,682.68 : x
  2. Step 2: Convert to fraction form
    265,194.38/397,804.68 = 75,682.68/x
  3. Step 3: Cross multiply
    265,194.38x = 397,804.68 × 75,682.68
  4. Step 4: Simplify right side
    265,194.38x = 30,106,924,298.94
  5. Step 5: Solve for x
    x = 30,106,924,298.94/265,194.38
  6. Step 6: Final answer
    x = 113,527.76

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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.