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Finding the Fourth Proportional to 177,096.66, 265,500.15 and 82,385.88

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Solution

The fourth proportional to 177,096.66, 265,500.15 and 82,385.88 is: 123,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,096.66 : 265,500.15 = 82,385.88 : x
  2. Step 2: Convert to fraction form
    177,096.66/265,500.15 = 82,385.88/x
  3. Step 3: Cross multiply
    177,096.66x = 265,500.15 × 82,385.88
  4. Step 4: Simplify right side
    177,096.66x = 21,873,463,497.88
  5. Step 5: Solve for x
    x = 21,873,463,497.88/177,096.66
  6. Step 6: Final answer
    x = 123,511.44

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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.