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Finding the Fourth Proportional to 97,954.80, 146,759.40 and 80,329.20

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Solution

The fourth proportional to 97,954.80, 146,759.40 and 80,329.20 is: 120,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,954.80 : 146,759.40 = 80,329.20 : x
  2. Step 2: Convert to fraction form
    97,954.80/146,759.40 = 80,329.20/x
  3. Step 3: Cross multiply
    97,954.80x = 146,759.40 × 80,329.20
  4. Step 4: Simplify right side
    97,954.80x = 11,789,065,194.48
  5. Step 5: Solve for x
    x = 11,789,065,194.48/97,954.80
  6. Step 6: Final answer
    x = 120,352.09

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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.