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Finding the Fourth Proportional to 254,758.32, 382,137.03 and 67,769.82

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Solution

The fourth proportional to 254,758.32, 382,137.03 and 67,769.82 is: 101,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,758.32 : 382,137.03 = 67,769.82 : x
  2. Step 2: Convert to fraction form
    254,758.32/382,137.03 = 67,769.82/x
  3. Step 3: Cross multiply
    254,758.32x = 382,137.03 × 67,769.82
  4. Step 4: Simplify right side
    254,758.32x = 25,897,357,738.43
  5. Step 5: Solve for x
    x = 25,897,357,738.43/254,758.32
  6. Step 6: Final answer
    x = 101,654.61

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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.