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Finding the Fourth Proportional to 254,776.32, 382,163.94 and 67,787.82

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Solution

The fourth proportional to 254,776.32, 382,163.94 and 67,787.82 is: 101,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,776.32 : 382,163.94 = 67,787.82 : x
  2. Step 2: Convert to fraction form
    254,776.32/382,163.94 = 67,787.82/x
  3. Step 3: Cross multiply
    254,776.32x = 382,163.94 × 67,787.82
  4. Step 4: Simplify right side
    254,776.32x = 25,906,060,375.21
  5. Step 5: Solve for x
    x = 25,906,060,375.21/254,776.32
  6. Step 6: Final answer
    x = 101,681.59

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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.