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Finding the Fourth Proportional to 113,491.20, 170,236.80 and 106,492.80

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Solution

The fourth proportional to 113,491.20, 170,236.80 and 106,492.80 is: 159,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,491.20 : 170,236.80 = 106,492.80 : x
  2. Step 2: Convert to fraction form
    113,491.20/170,236.80 = 106,492.80/x
  3. Step 3: Cross multiply
    113,491.20x = 170,236.80 × 106,492.80
  4. Step 4: Simplify right side
    113,491.20x = 18,128,993,495.04
  5. Step 5: Solve for x
    x = 18,128,993,495.04/113,491.20
  6. Step 6: Final answer
    x = 159,739.20

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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.