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Finding the Fourth Proportional to 174,697.20, 262,045.80 and 132,706.80

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Solution

The fourth proportional to 174,697.20, 262,045.80 and 132,706.80 is: 199,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,697.20 : 262,045.80 = 132,706.80 : x
  2. Step 2: Convert to fraction form
    174,697.20/262,045.80 = 132,706.80/x
  3. Step 3: Cross multiply
    174,697.20x = 262,045.80 × 132,706.80
  4. Step 4: Simplify right side
    174,697.20x = 34,775,259,571.44
  5. Step 5: Solve for x
    x = 34,775,259,571.44/174,697.20
  6. Step 6: Final answer
    x = 199,060.20

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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.