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Finding the Fourth Proportional to 177,272, 265,758.86 and 82,454.02

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Solution

The fourth proportional to 177,272, 265,758.86 and 82,454.02 is: 123,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,272 : 265,758.86 = 82,454.02 : x
  2. Step 2: Convert to fraction form
    177,272/265,758.86 = 82,454.02/x
  3. Step 3: Cross multiply
    177,272x = 265,758.86 × 82,454.02
  4. Step 4: Simplify right side
    177,272x = 21,912,886,357.62
  5. Step 5: Solve for x
    x = 21,912,886,357.62/177,272
  6. Step 6: Final answer
    x = 123,611.66

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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.