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Finding the Fourth Proportional to 177,782.92, 266,674.60 and 72,601.88

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Solution

The fourth proportional to 177,782.92, 266,674.60 and 72,601.88 is: 108,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,782.92 : 266,674.60 = 72,601.88 : x
  2. Step 2: Convert to fraction form
    177,782.92/266,674.60 = 72,601.88/x
  3. Step 3: Cross multiply
    177,782.92x = 266,674.60 × 72,601.88
  4. Step 4: Simplify right side
    177,782.92x = 19,361,077,308.25
  5. Step 5: Solve for x
    x = 19,361,077,308.25/177,782.92
  6. Step 6: Final answer
    x = 108,902.91

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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.