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Finding the Fourth Proportional to 166,821.10, 230,213.26 and 90,340.80

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Solution

The fourth proportional to 166,821.10, 230,213.26 and 90,340.80 is: 124,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,821.10 : 230,213.26 = 90,340.80 : x
  2. Step 2: Convert to fraction form
    166,821.10/230,213.26 = 90,340.80/x
  3. Step 3: Cross multiply
    166,821.10x = 230,213.26 × 90,340.80
  4. Step 4: Simplify right side
    166,821.10x = 20,797,650,079.01
  5. Step 5: Solve for x
    x = 20,797,650,079.01/166,821.10
  6. Step 6: Final answer
    x = 124,670.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.