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Finding the Fourth Proportional to 254,764.32, 382,146.03 and 67,775.82

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Solution

The fourth proportional to 254,764.32, 382,146.03 and 67,775.82 is: 101,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,764.32 : 382,146.03 = 67,775.82 : x
  2. Step 2: Convert to fraction form
    254,764.32/382,146.03 = 67,775.82/x
  3. Step 3: Cross multiply
    254,764.32x = 382,146.03 × 67,775.82
  4. Step 4: Simplify right side
    254,764.32x = 25,900,260,542.99
  5. Step 5: Solve for x
    x = 25,900,260,542.99/254,764.32
  6. Step 6: Final answer
    x = 101,663.61

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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.