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Finding the Fourth Proportional to 178,674.80, 267,781.80 and 136,914.80

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Solution

The fourth proportional to 178,674.80, 267,781.80 and 136,914.80 is: 205,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,674.80 : 267,781.80 = 136,914.80 : x
  2. Step 2: Convert to fraction form
    178,674.80/267,781.80 = 136,914.80/x
  3. Step 3: Cross multiply
    178,674.80x = 267,781.80 × 136,914.80
  4. Step 4: Simplify right side
    178,674.80x = 36,663,291,590.64
  5. Step 5: Solve for x
    x = 36,663,291,590.64/178,674.80
  6. Step 6: Final answer
    x = 205,195.65

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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.