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Finding the Fourth Proportional to 101,505.77, 140,074.38 and 56,183.84

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Solution

The fourth proportional to 101,505.77, 140,074.38 and 56,183.84 is: 77,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,505.77 : 140,074.38 = 56,183.84 : x
  2. Step 2: Convert to fraction form
    101,505.77/140,074.38 = 56,183.84/x
  3. Step 3: Cross multiply
    101,505.77x = 140,074.38 × 56,183.84
  4. Step 4: Simplify right side
    101,505.77x = 7,869,915,853.65
  5. Step 5: Solve for x
    x = 7,869,915,853.65/101,505.77
  6. Step 6: Final answer
    x = 77,531.71

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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.