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Finding the Fourth Proportional to 177,682.60, 266,135.10 and 154,354.60

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Solution

The fourth proportional to 177,682.60, 266,135.10 and 154,354.60 is: 231,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,682.60 : 266,135.10 = 154,354.60 : x
  2. Step 2: Convert to fraction form
    177,682.60/266,135.10 = 154,354.60/x
  3. Step 3: Cross multiply
    177,682.60x = 266,135.10 × 154,354.60
  4. Step 4: Simplify right side
    177,682.60x = 41,079,176,906.46
  5. Step 5: Solve for x
    x = 41,079,176,906.46/177,682.60
  6. Step 6: Final answer
    x = 231,194.15

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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.