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Finding the Fourth Proportional to 101,739, 140,397.42 and 56,416.56

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Solution

The fourth proportional to 101,739, 140,397.42 and 56,416.56 is: 77,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739 : 140,397.42 = 56,416.56 : x
  2. Step 2: Convert to fraction form
    101,739/140,397.42 = 56,416.56/x
  3. Step 3: Cross multiply
    101,739x = 140,397.42 × 56,416.56
  4. Step 4: Simplify right side
    101,739x = 7,920,739,469.28
  5. Step 5: Solve for x
    x = 7,920,739,469.28/101,739
  6. Step 6: Final answer
    x = 77,853.52

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