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Finding the Fourth Proportional to 101,524.10, 140,116.32 and 61,259.60

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Solution

The fourth proportional to 101,524.10, 140,116.32 and 61,259.60 is: 84,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.10 : 140,116.32 = 61,259.60 : x
  2. Step 2: Convert to fraction form
    101,524.10/140,116.32 = 61,259.60/x
  3. Step 3: Cross multiply
    101,524.10x = 140,116.32 × 61,259.60
  4. Step 4: Simplify right side
    101,524.10x = 8,583,469,716.67
  5. Step 5: Solve for x
    x = 8,583,469,716.67/101,524.10
  6. Step 6: Final answer
    x = 84,546.13

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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.