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Finding the Fourth Proportional to 208,170.48, 312,220.20 and 75,024.24

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Solution

The fourth proportional to 208,170.48, 312,220.20 and 75,024.24 is: 112,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,170.48 : 312,220.20 = 75,024.24 : x
  2. Step 2: Convert to fraction form
    208,170.48/312,220.20 = 75,024.24/x
  3. Step 3: Cross multiply
    208,170.48x = 312,220.20 × 75,024.24
  4. Step 4: Simplify right side
    208,170.48x = 23,424,083,217.65
  5. Step 5: Solve for x
    x = 23,424,083,217.65/208,170.48
  6. Step 6: Final answer
    x = 112,523.56

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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.