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Finding the Fourth Proportional to 101,738, 140,398.44 and 57,026

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Solution

The fourth proportional to 101,738, 140,398.44 and 57,026 is: 78,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738 : 140,398.44 = 57,026 : x
  2. Step 2: Convert to fraction form
    101,738/140,398.44 = 57,026/x
  3. Step 3: Cross multiply
    101,738x = 140,398.44 × 57,026
  4. Step 4: Simplify right side
    101,738x = 8,006,361,439.44
  5. Step 5: Solve for x
    x = 8,006,361,439.44/101,738
  6. Step 6: Final answer
    x = 78,695.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.