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Finding the Fourth Proportional to 177,883.40, 266,976.30 and 72,777.80

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Solution

The fourth proportional to 177,883.40, 266,976.30 and 72,777.80 is: 109,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883.40 : 266,976.30 = 72,777.80 : x
  2. Step 2: Convert to fraction form
    177,883.40/266,976.30 = 72,777.80/x
  3. Step 3: Cross multiply
    177,883.40x = 266,976.30 × 72,777.80
  4. Step 4: Simplify right side
    177,883.40x = 19,429,947,766.14
  5. Step 5: Solve for x
    x = 19,429,947,766.14/177,883.40
  6. Step 6: Final answer
    x = 109,228.56

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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.