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Finding the Fourth Proportional to 177,348.70, 266,023.05 and 166,851.10

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Solution

The fourth proportional to 177,348.70, 266,023.05 and 166,851.10 is: 250,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,348.70 : 266,023.05 = 166,851.10 : x
  2. Step 2: Convert to fraction form
    177,348.70/266,023.05 = 166,851.10/x
  3. Step 3: Cross multiply
    177,348.70x = 266,023.05 × 166,851.10
  4. Step 4: Simplify right side
    177,348.70x = 44,386,238,517.86
  5. Step 5: Solve for x
    x = 44,386,238,517.86/177,348.70
  6. Step 6: Final answer
    x = 250,276.65

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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.