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Finding the Fourth Proportional to 195,385, 293,089.92 and 55,154.56

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Solution

The fourth proportional to 195,385, 293,089.92 and 55,154.56 is: 82,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,385 : 293,089.92 = 55,154.56 : x
  2. Step 2: Convert to fraction form
    195,385/293,089.92 = 55,154.56/x
  3. Step 3: Cross multiply
    195,385x = 293,089.92 × 55,154.56
  4. Step 4: Simplify right side
    195,385x = 16,165,245,578.04
  5. Step 5: Solve for x
    x = 16,165,245,578.04/195,385
  6. Step 6: Final answer
    x = 82,735.35

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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.