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Finding the Fourth Proportional to 215,771.30, 297,777.22 and 120,277.70

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Solution

The fourth proportional to 215,771.30, 297,777.22 and 120,277.70 is: 165,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,771.30 : 297,777.22 = 120,277.70 : x
  2. Step 2: Convert to fraction form
    215,771.30/297,777.22 = 120,277.70/x
  3. Step 3: Cross multiply
    215,771.30x = 297,777.22 × 120,277.70
  4. Step 4: Simplify right side
    215,771.30x = 35,815,959,133.99
  5. Step 5: Solve for x
    x = 35,815,959,133.99/215,771.30
  6. Step 6: Final answer
    x = 165,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.