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Finding the Fourth Proportional to 176,659.32, 264,839.22 and 76,744.20

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Solution

The fourth proportional to 176,659.32, 264,839.22 and 76,744.20 is: 115,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,659.32 : 264,839.22 = 76,744.20 : x
  2. Step 2: Convert to fraction form
    176,659.32/264,839.22 = 76,744.20/x
  3. Step 3: Cross multiply
    176,659.32x = 264,839.22 × 76,744.20
  4. Step 4: Simplify right side
    176,659.32x = 20,324,874,067.52
  5. Step 5: Solve for x
    x = 20,324,874,067.52/176,659.32
  6. Step 6: Final answer
    x = 115,051.24

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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.