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Finding the Fourth Proportional to 182,405.32, 273,489.54 and 75,760

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Solution

The fourth proportional to 182,405.32, 273,489.54 and 75,760 is: 113,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,405.32 : 273,489.54 = 75,760 : x
  2. Step 2: Convert to fraction form
    182,405.32/273,489.54 = 75,760/x
  3. Step 3: Cross multiply
    182,405.32x = 273,489.54 × 75,760
  4. Step 4: Simplify right side
    182,405.32x = 20,719,567,550.40
  5. Step 5: Solve for x
    x = 20,719,567,550.40/182,405.32
  6. Step 6: Final answer
    x = 113,590.81

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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.