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Finding the Fourth Proportional to 199,853.70, 299,780.55 and 192,855.30

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Solution

The fourth proportional to 199,853.70, 299,780.55 and 192,855.30 is: 289,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853.70 : 299,780.55 = 192,855.30 : x
  2. Step 2: Convert to fraction form
    199,853.70/299,780.55 = 192,855.30/x
  3. Step 3: Cross multiply
    199,853.70x = 299,780.55 × 192,855.30
  4. Step 4: Simplify right side
    199,853.70x = 57,814,267,904.42
  5. Step 5: Solve for x
    x = 57,814,267,904.42/199,853.70
  6. Step 6: Final answer
    x = 289,282.95

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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.