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Finding the Fourth Proportional to 101,517.50, 140,093.30 and 56,195.57

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Solution

The fourth proportional to 101,517.50, 140,093.30 and 56,195.57 is: 77,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,517.50 : 140,093.30 = 56,195.57 : x
  2. Step 2: Convert to fraction form
    101,517.50/140,093.30 = 56,195.57/x
  3. Step 3: Cross multiply
    101,517.50x = 140,093.30 × 56,195.57
  4. Step 4: Simplify right side
    101,517.50x = 7,872,621,865.24
  5. Step 5: Solve for x
    x = 7,872,621,865.24/101,517.50
  6. Step 6: Final answer
    x = 77,549.41

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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.