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Finding the Fourth Proportional to 177,048.40, 265,723.80 and 71,942.80

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Solution

The fourth proportional to 177,048.40, 265,723.80 and 71,942.80 is: 107,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048.40 : 265,723.80 = 71,942.80 : x
  2. Step 2: Convert to fraction form
    177,048.40/265,723.80 = 71,942.80/x
  3. Step 3: Cross multiply
    177,048.40x = 265,723.80 × 71,942.80
  4. Step 4: Simplify right side
    177,048.40x = 19,116,914,198.64
  5. Step 5: Solve for x
    x = 19,116,914,198.64/177,048.40
  6. Step 6: Final answer
    x = 107,975.64

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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.