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Finding the Fourth Proportional to 101,846, 140,548.44 and 57,134.96

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Solution

The fourth proportional to 101,846, 140,548.44 and 57,134.96 is: 78,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 140,548.44 = 57,134.96 : x
  2. Step 2: Convert to fraction form
    101,846/140,548.44 = 57,134.96/x
  3. Step 3: Cross multiply
    101,846x = 140,548.44 × 57,134.96
  4. Step 4: Simplify right side
    101,846x = 8,030,229,497.46
  5. Step 5: Solve for x
    x = 8,030,229,497.46/101,846
  6. Step 6: Final answer
    x = 78,846.78

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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.