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Finding the Fourth Proportional to 102,855.20, 154,282.80 and 36,294.80

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Solution

The fourth proportional to 102,855.20, 154,282.80 and 36,294.80 is: 54,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.20 : 154,282.80 = 36,294.80 : x
  2. Step 2: Convert to fraction form
    102,855.20/154,282.80 = 36,294.80/x
  3. Step 3: Cross multiply
    102,855.20x = 154,282.80 × 36,294.80
  4. Step 4: Simplify right side
    102,855.20x = 5,599,663,369.44
  5. Step 5: Solve for x
    x = 5,599,663,369.44/102,855.20
  6. Step 6: Final answer
    x = 54,442.20

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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.