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Finding the Fourth Proportional to 150,264, 207,342.72 and 127,693.44

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Solution

The fourth proportional to 150,264, 207,342.72 and 127,693.44 is: 176,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264 : 207,342.72 = 127,693.44 : x
  2. Step 2: Convert to fraction form
    150,264/207,342.72 = 127,693.44/x
  3. Step 3: Cross multiply
    150,264x = 207,342.72 × 127,693.44
  4. Step 4: Simplify right side
    150,264x = 26,476,305,175.76
  5. Step 5: Solve for x
    x = 26,476,305,175.76/150,264
  6. Step 6: Final answer
    x = 176,198.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.