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Finding the Fourth Proportional to 101,770.58, 140,452.02 and 56,463.14

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Solution

The fourth proportional to 101,770.58, 140,452.02 and 56,463.14 is: 77,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,770.58 : 140,452.02 = 56,463.14 : x
  2. Step 2: Convert to fraction form
    101,770.58/140,452.02 = 56,463.14/x
  3. Step 3: Cross multiply
    101,770.58x = 140,452.02 × 56,463.14
  4. Step 4: Simplify right side
    101,770.58x = 7,930,361,366.28
  5. Step 5: Solve for x
    x = 7,930,361,366.28/101,770.58
  6. Step 6: Final answer
    x = 77,923.91

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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.