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Finding the Fourth Proportional to 101,913.56, 140,638 and 56,590.36

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Solution

The fourth proportional to 101,913.56, 140,638 and 56,590.36 is: 78,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.56 : 140,638 = 56,590.36 : x
  2. Step 2: Convert to fraction form
    101,913.56/140,638 = 56,590.36/x
  3. Step 3: Cross multiply
    101,913.56x = 140,638 × 56,590.36
  4. Step 4: Simplify right side
    101,913.56x = 7,958,755,049.68
  5. Step 5: Solve for x
    x = 7,958,755,049.68/101,913.56
  6. Step 6: Final answer
    x = 78,093.19

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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.