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Finding the Fourth Proportional to 177,366.91, 266,042.94 and 82,564.51

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Solution

The fourth proportional to 177,366.91, 266,042.94 and 82,564.51 is: 123,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,366.91 : 266,042.94 = 82,564.51 : x
  2. Step 2: Convert to fraction form
    177,366.91/266,042.94 = 82,564.51/x
  3. Step 3: Cross multiply
    177,366.91x = 266,042.94 × 82,564.51
  4. Step 4: Simplify right side
    177,366.91x = 21,965,704,980.06
  5. Step 5: Solve for x
    x = 21,965,704,980.06/177,366.91
  6. Step 6: Final answer
    x = 123,843.31

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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.