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Finding the Fourth Proportional to 107,321.54, 160,982.16 and 40,761.54

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Solution

The fourth proportional to 107,321.54, 160,982.16 and 40,761.54 is: 61,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,321.54 : 160,982.16 = 40,761.54 : x
  2. Step 2: Convert to fraction form
    107,321.54/160,982.16 = 40,761.54/x
  3. Step 3: Cross multiply
    107,321.54x = 160,982.16 × 40,761.54
  4. Step 4: Simplify right side
    107,321.54x = 6,561,880,754.13
  5. Step 5: Solve for x
    x = 6,561,880,754.13/107,321.54
  6. Step 6: Final answer
    x = 61,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.