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Finding the Fourth Proportional to 199,565.20, 299,347.80 and 192,566.80

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Solution

The fourth proportional to 199,565.20, 299,347.80 and 192,566.80 is: 288,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565.20 : 299,347.80 = 192,566.80 : x
  2. Step 2: Convert to fraction form
    199,565.20/299,347.80 = 192,566.80/x
  3. Step 3: Cross multiply
    199,565.20x = 299,347.80 × 192,566.80
  4. Step 4: Simplify right side
    199,565.20x = 57,644,447,933.04
  5. Step 5: Solve for x
    x = 57,644,447,933.04/199,565.20
  6. Step 6: Final answer
    x = 288,850.20

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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.