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Finding the Fourth Proportional to 115,409.80, 173,114.70 and 102,968.20

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Solution

The fourth proportional to 115,409.80, 173,114.70 and 102,968.20 is: 154,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,409.80 : 173,114.70 = 102,968.20 : x
  2. Step 2: Convert to fraction form
    115,409.80/173,114.70 = 102,968.20/x
  3. Step 3: Cross multiply
    115,409.80x = 173,114.70 × 102,968.20
  4. Step 4: Simplify right side
    115,409.80x = 17,825,309,052.54
  5. Step 5: Solve for x
    x = 17,825,309,052.54/115,409.80
  6. Step 6: Final answer
    x = 154,452.30

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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.