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Finding the Fourth Proportional to 215,770.32, 297,767.07 and 120,266.91

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Solution

The fourth proportional to 215,770.32, 297,767.07 and 120,266.91 is: 165,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,770.32 : 297,767.07 = 120,266.91 : x
  2. Step 2: Convert to fraction form
    215,770.32/297,767.07 = 120,266.91/x
  3. Step 3: Cross multiply
    215,770.32x = 297,767.07 × 120,266.91
  4. Step 4: Simplify right side
    215,770.32x = 35,811,525,408.65
  5. Step 5: Solve for x
    x = 35,811,525,408.65/215,770.32
  6. Step 6: Final answer
    x = 165,970.58

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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.