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Finding the Fourth Proportional to 215,524.65, 297,433.26 and 120,031.35

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Solution

The fourth proportional to 215,524.65, 297,433.26 and 120,031.35 is: 165,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,524.65 : 297,433.26 = 120,031.35 : x
  2. Step 2: Convert to fraction form
    215,524.65/297,433.26 = 120,031.35/x
  3. Step 3: Cross multiply
    215,524.65x = 297,433.26 × 120,031.35
  4. Step 4: Simplify right side
    215,524.65x = 35,701,315,732.70
  5. Step 5: Solve for x
    x = 35,701,315,732.70/215,524.65
  6. Step 6: Final answer
    x = 165,648.41

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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.