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Finding the Fourth Proportional to 195,735, 293,617.14 and 55,504.92

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Solution

The fourth proportional to 195,735, 293,617.14 and 55,504.92 is: 83,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,735 : 293,617.14 = 55,504.92 : x
  2. Step 2: Convert to fraction form
    195,735/293,617.14 = 55,504.92/x
  3. Step 3: Cross multiply
    195,735x = 293,617.14 × 55,504.92
  4. Step 4: Simplify right side
    195,735x = 16,297,195,866.33
  5. Step 5: Solve for x
    x = 16,297,195,866.33/195,735
  6. Step 6: Final answer
    x = 83,261.53

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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.