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Finding the Fourth Proportional to 195,718.94, 293,691.40 and 105,761.96

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Solution

The fourth proportional to 195,718.94, 293,691.40 and 105,761.96 is: 158,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,718.94 : 293,691.40 = 105,761.96 : x
  2. Step 2: Convert to fraction form
    195,718.94/293,691.40 = 105,761.96/x
  3. Step 3: Cross multiply
    195,718.94x = 293,691.40 × 105,761.96
  4. Step 4: Simplify right side
    195,718.94x = 31,061,378,099.14
  5. Step 5: Solve for x
    x = 31,061,378,099.14/195,718.94
  6. Step 6: Final answer
    x = 158,704.00

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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.