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Finding the Fourth Proportional to 254,749.32, 382,123.44 and 67,760.82

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Solution

The fourth proportional to 254,749.32, 382,123.44 and 67,760.82 is: 101,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,749.32 : 382,123.44 = 67,760.82 : x
  2. Step 2: Convert to fraction form
    254,749.32/382,123.44 = 67,760.82/x
  3. Step 3: Cross multiply
    254,749.32x = 382,123.44 × 67,760.82
  4. Step 4: Simplify right side
    254,749.32x = 25,892,997,635.62
  5. Step 5: Solve for x
    x = 25,892,997,635.62/254,749.32
  6. Step 6: Final answer
    x = 101,641.09

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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.