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Finding the Fourth Proportional to 195,718.74, 270,098.22 and 110,833.98

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Solution

The fourth proportional to 195,718.74, 270,098.22 and 110,833.98 is: 152,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,718.74 : 270,098.22 = 110,833.98 : x
  2. Step 2: Convert to fraction form
    195,718.74/270,098.22 = 110,833.98/x
  3. Step 3: Cross multiply
    195,718.74x = 270,098.22 × 110,833.98
  4. Step 4: Simplify right side
    195,718.74x = 29,936,060,713.52
  5. Step 5: Solve for x
    x = 29,936,060,713.52/195,718.74
  6. Step 6: Final answer
    x = 152,954.49

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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.