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Finding the Fourth Proportional to 208,099.20, 312,148.80 and 113,620.80

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Solution

The fourth proportional to 208,099.20, 312,148.80 and 113,620.80 is: 170,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.20 : 312,148.80 = 113,620.80 : x
  2. Step 2: Convert to fraction form
    208,099.20/312,148.80 = 113,620.80/x
  3. Step 3: Cross multiply
    208,099.20x = 312,148.80 × 113,620.80
  4. Step 4: Simplify right side
    208,099.20x = 35,466,596,375.04
  5. Step 5: Solve for x
    x = 35,466,596,375.04/208,099.20
  6. Step 6: Final answer
    x = 170,431.20

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1.5x scale

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.