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Finding the Fourth Proportional to 107,233.80, 160,850.70 and 65,761.80

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Solution

The fourth proportional to 107,233.80, 160,850.70 and 65,761.80 is: 98,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233.80 : 160,850.70 = 65,761.80 : x
  2. Step 2: Convert to fraction form
    107,233.80/160,850.70 = 65,761.80/x
  3. Step 3: Cross multiply
    107,233.80x = 160,850.70 × 65,761.80
  4. Step 4: Simplify right side
    107,233.80x = 10,577,831,563.26
  5. Step 5: Solve for x
    x = 10,577,831,563.26/107,233.80
  6. Step 6: Final answer
    x = 98,642.70

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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.