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Finding the Fourth Proportional to 101,864.69, 140,589.92 and 56,557.34

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Solution

The fourth proportional to 101,864.69, 140,589.92 and 56,557.34 is: 78,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864.69 : 140,589.92 = 56,557.34 : x
  2. Step 2: Convert to fraction form
    101,864.69/140,589.92 = 56,557.34/x
  3. Step 3: Cross multiply
    101,864.69x = 140,589.92 × 56,557.34
  4. Step 4: Simplify right side
    101,864.69x = 7,951,392,398.88
  5. Step 5: Solve for x
    x = 7,951,392,398.88/101,864.69
  6. Step 6: Final answer
    x = 78,058.38

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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.