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Finding the Fourth Proportional to 195,696.94, 293,452.89 and 75,810.05

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Solution

The fourth proportional to 195,696.94, 293,452.89 and 75,810.05 is: 113,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,696.94 : 293,452.89 = 75,810.05 : x
  2. Step 2: Convert to fraction form
    195,696.94/293,452.89 = 75,810.05/x
  3. Step 3: Cross multiply
    195,696.94x = 293,452.89 × 75,810.05
  4. Step 4: Simplify right side
    195,696.94x = 22,246,676,796.28
  5. Step 5: Solve for x
    x = 22,246,676,796.28/195,696.94
  6. Step 6: Final answer
    x = 113,679.23

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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.