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Finding the Fourth Proportional to 80,194.80, 120,146.40 and 65,323.20

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Solution

The fourth proportional to 80,194.80, 120,146.40 and 65,323.20 is: 97,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,194.80 : 120,146.40 = 65,323.20 : x
  2. Step 2: Convert to fraction form
    80,194.80/120,146.40 = 65,323.20/x
  3. Step 3: Cross multiply
    80,194.80x = 120,146.40 × 65,323.20
  4. Step 4: Simplify right side
    80,194.80x = 7,848,347,316.48
  5. Step 5: Solve for x
    x = 7,848,347,316.48/80,194.80
  6. Step 6: Final answer
    x = 97,866.04

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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.