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Finding the Fourth Proportional to 215,771.32, 297,768.45 and 120,267.91

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Solution

The fourth proportional to 215,771.32, 297,768.45 and 120,267.91 is: 165,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,771.32 : 297,768.45 = 120,267.91 : x
  2. Step 2: Convert to fraction form
    215,771.32/297,768.45 = 120,267.91/x
  3. Step 3: Cross multiply
    215,771.32x = 297,768.45 × 120,267.91
  4. Step 4: Simplify right side
    215,771.32x = 35,811,989,145.44
  5. Step 5: Solve for x
    x = 35,811,989,145.44/215,771.32
  6. Step 6: Final answer
    x = 165,971.96

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