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Finding the Fourth Proportional to 195,357.44, 269,508 and 114,642.56

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Solution

The fourth proportional to 195,357.44, 269,508 and 114,642.56 is: 158,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,357.44 : 269,508 = 114,642.56 : x
  2. Step 2: Convert to fraction form
    195,357.44/269,508 = 114,642.56/x
  3. Step 3: Cross multiply
    195,357.44x = 269,508 × 114,642.56
  4. Step 4: Simplify right side
    195,357.44x = 30,897,087,060.48
  5. Step 5: Solve for x
    x = 30,897,087,060.48/195,357.44
  6. Step 6: Final answer
    x = 158,156.70

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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.