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Finding the Fourth Proportional to 177,274, 265,761.85 and 82,456.01

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Solution

The fourth proportional to 177,274, 265,761.85 and 82,456.01 is: 123,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,274 : 265,761.85 = 82,456.01 : x
  2. Step 2: Convert to fraction form
    177,274/265,761.85 = 82,456.01/x
  3. Step 3: Cross multiply
    177,274x = 265,761.85 × 82,456.01
  4. Step 4: Simplify right side
    177,274x = 21,913,661,761.22
  5. Step 5: Solve for x
    x = 21,913,661,761.22/177,274
  6. Step 6: Final answer
    x = 123,614.64

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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.