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Finding the Fourth Proportional to 177,798.30, 266,049.45 and 131,142.30

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Solution

The fourth proportional to 177,798.30, 266,049.45 and 131,142.30 is: 196,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,798.30 : 266,049.45 = 131,142.30 : x
  2. Step 2: Convert to fraction form
    177,798.30/266,049.45 = 131,142.30/x
  3. Step 3: Cross multiply
    177,798.30x = 266,049.45 × 131,142.30
  4. Step 4: Simplify right side
    177,798.30x = 34,890,336,786.74
  5. Step 5: Solve for x
    x = 34,890,336,786.74/177,798.30
  6. Step 6: Final answer
    x = 196,235.49

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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.