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Finding the Fourth Proportional to 196,211.16, 270,823.50 and 120,822.84

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Solution

The fourth proportional to 196,211.16, 270,823.50 and 120,822.84 is: 166,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,211.16 : 270,823.50 = 120,822.84 : x
  2. Step 2: Convert to fraction form
    196,211.16/270,823.50 = 120,822.84/x
  3. Step 3: Cross multiply
    196,211.16x = 270,823.50 × 120,822.84
  4. Step 4: Simplify right side
    196,211.16x = 32,721,664,408.74
  5. Step 5: Solve for x
    x = 32,721,664,408.74/196,211.16
  6. Step 6: Final answer
    x = 166,767.60

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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.