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Finding the Fourth Proportional to 113,323.20, 169,984.80 and 106,324.80

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Solution

The fourth proportional to 113,323.20, 169,984.80 and 106,324.80 is: 159,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,323.20 : 169,984.80 = 106,324.80 : x
  2. Step 2: Convert to fraction form
    113,323.20/169,984.80 = 106,324.80/x
  3. Step 3: Cross multiply
    113,323.20x = 169,984.80 × 106,324.80
  4. Step 4: Simplify right side
    113,323.20x = 18,073,599,863.04
  5. Step 5: Solve for x
    x = 18,073,599,863.04/113,323.20
  6. Step 6: Final answer
    x = 159,487.20

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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.