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Finding the Fourth Proportional to 166,823.20, 250,234.80 and 148,160.80

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Solution

The fourth proportional to 166,823.20, 250,234.80 and 148,160.80 is: 222,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,823.20 : 250,234.80 = 148,160.80 : x
  2. Step 2: Convert to fraction form
    166,823.20/250,234.80 = 148,160.80/x
  3. Step 3: Cross multiply
    166,823.20x = 250,234.80 × 148,160.80
  4. Step 4: Simplify right side
    166,823.20x = 37,074,988,155.84
  5. Step 5: Solve for x
    x = 37,074,988,155.84/166,823.20
  6. Step 6: Final answer
    x = 222,241.20

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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.