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Finding the Fourth Proportional to 195,906.80, 293,629.80 and 102,364.40

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Solution

The fourth proportional to 195,906.80, 293,629.80 and 102,364.40 is: 153,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,906.80 : 293,629.80 = 102,364.40 : x
  2. Step 2: Convert to fraction form
    195,906.80/293,629.80 = 102,364.40/x
  3. Step 3: Cross multiply
    195,906.80x = 293,629.80 × 102,364.40
  4. Step 4: Simplify right side
    195,906.80x = 30,057,238,299.12
  5. Step 5: Solve for x
    x = 30,057,238,299.12/195,906.80
  6. Step 6: Final answer
    x = 153,426.21

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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.