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Finding the Fourth Proportional to 101,531.50, 140,094.03 and 65,716.54

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Solution

The fourth proportional to 101,531.50, 140,094.03 and 65,716.54 is: 90,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,531.50 : 140,094.03 = 65,716.54 : x
  2. Step 2: Convert to fraction form
    101,531.50/140,094.03 = 65,716.54/x
  3. Step 3: Cross multiply
    101,531.50x = 140,094.03 × 65,716.54
  4. Step 4: Simplify right side
    101,531.50x = 9,206,494,926.26
  5. Step 5: Solve for x
    x = 9,206,494,926.26/101,531.50
  6. Step 6: Final answer
    x = 90,676.24

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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.