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Finding the Fourth Proportional to 68,193, 102,290.78 and 18,946.28

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Solution

The fourth proportional to 68,193, 102,290.78 and 18,946.28 is: 28,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193 : 102,290.78 = 18,946.28 : x
  2. Step 2: Convert to fraction form
    68,193/102,290.78 = 18,946.28/x
  3. Step 3: Cross multiply
    68,193x = 102,290.78 × 18,946.28
  4. Step 4: Simplify right side
    68,193x = 1,938,029,759.30
  5. Step 5: Solve for x
    x = 1,938,029,759.30/68,193
  6. Step 6: Final answer
    x = 28,419.78

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1.5x scale

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.