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Finding the Fourth Proportional to 177,882.80, 266,176.20 and 131,226.80

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Solution

The fourth proportional to 177,882.80, 266,176.20 and 131,226.80 is: 196,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,882.80 : 266,176.20 = 131,226.80 : x
  2. Step 2: Convert to fraction form
    177,882.80/266,176.20 = 131,226.80/x
  3. Step 3: Cross multiply
    177,882.80x = 266,176.20 × 131,226.80
  4. Step 4: Simplify right side
    177,882.80x = 34,929,450,962.16
  5. Step 5: Solve for x
    x = 34,929,450,962.16/177,882.80
  6. Step 6: Final answer
    x = 196,362.16

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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.