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Finding the Fourth Proportional to 177,823.80, 266,087.70 and 131,167.80

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Solution

The fourth proportional to 177,823.80, 266,087.70 and 131,167.80 is: 196,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,823.80 : 266,087.70 = 131,167.80 : x
  2. Step 2: Convert to fraction form
    177,823.80/266,087.70 = 131,167.80/x
  3. Step 3: Cross multiply
    177,823.80x = 266,087.70 × 131,167.80
  4. Step 4: Simplify right side
    177,823.80x = 34,902,138,216.06
  5. Step 5: Solve for x
    x = 34,902,138,216.06/177,823.80
  6. Step 6: Final answer
    x = 196,273.72

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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.