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Finding the Fourth Proportional to 177,823.80, 266,087.70 and 111,295.80

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Solution

The fourth proportional to 177,823.80, 266,087.70 and 111,295.80 is: 166,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,823.80 : 266,087.70 = 111,295.80 : x
  2. Step 2: Convert to fraction form
    177,823.80/266,087.70 = 111,295.80/x
  3. Step 3: Cross multiply
    177,823.80x = 266,087.70 × 111,295.80
  4. Step 4: Simplify right side
    177,823.80x = 29,614,443,441.66
  5. Step 5: Solve for x
    x = 29,614,443,441.66/177,823.80
  6. Step 6: Final answer
    x = 166,538.13

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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.