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Finding the Fourth Proportional to 195,758.82, 270,186.03 and 127,786.86

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Solution

The fourth proportional to 195,758.82, 270,186.03 and 127,786.86 is: 176,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,758.82 : 270,186.03 = 127,786.86 : x
  2. Step 2: Convert to fraction form
    195,758.82/270,186.03 = 127,786.86/x
  3. Step 3: Cross multiply
    195,758.82x = 270,186.03 × 127,786.86
  4. Step 4: Simplify right side
    195,758.82x = 34,526,224,389.57
  5. Step 5: Solve for x
    x = 34,526,224,389.57/195,758.82
  6. Step 6: Final answer
    x = 176,371.23

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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.