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Finding the Fourth Proportional to 203,777.71, 306,164.71 and 192,447.83

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Solution

The fourth proportional to 203,777.71, 306,164.71 and 192,447.83 is: 289,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,777.71 : 306,164.71 = 192,447.83 : x
  2. Step 2: Convert to fraction form
    203,777.71/306,164.71 = 192,447.83/x
  3. Step 3: Cross multiply
    203,777.71x = 306,164.71 × 192,447.83
  4. Step 4: Simplify right side
    203,777.71x = 58,920,735,068.05
  5. Step 5: Solve for x
    x = 58,920,735,068.05/203,777.71
  6. Step 6: Final answer
    x = 289,142.20

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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.