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Finding the Fourth Proportional to 254,763.32, 382,144.53 and 67,774.82

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Solution

The fourth proportional to 254,763.32, 382,144.53 and 67,774.82 is: 101,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,763.32 : 382,144.53 = 67,774.82 : x
  2. Step 2: Convert to fraction form
    254,763.32/382,144.53 = 67,774.82/x
  3. Step 3: Cross multiply
    254,763.32x = 382,144.53 × 67,774.82
  4. Step 4: Simplify right side
    254,763.32x = 25,899,776,734.73
  5. Step 5: Solve for x
    x = 25,899,776,734.73/254,763.32
  6. Step 6: Final answer
    x = 101,662.11

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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.