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Finding the Fourth Proportional to 177,323.20, 266,071.20 and 135,188.80

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Solution

The fourth proportional to 177,323.20, 266,071.20 and 135,188.80 is: 202,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,323.20 : 266,071.20 = 135,188.80 : x
  2. Step 2: Convert to fraction form
    177,323.20/266,071.20 = 135,188.80/x
  3. Step 3: Cross multiply
    177,323.20x = 266,071.20 × 135,188.80
  4. Step 4: Simplify right side
    177,323.20x = 35,969,846,242.56
  5. Step 5: Solve for x
    x = 35,969,846,242.56/177,323.20
  6. Step 6: Final answer
    x = 202,849.07

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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.