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Finding the Fourth Proportional to 216,204.79, 298,363.19 and 120,714.90

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Solution

The fourth proportional to 216,204.79, 298,363.19 and 120,714.90 is: 166,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,204.79 : 298,363.19 = 120,714.90 : x
  2. Step 2: Convert to fraction form
    216,204.79/298,363.19 = 120,714.90/x
  3. Step 3: Cross multiply
    216,204.79x = 298,363.19 × 120,714.90
  4. Step 4: Simplify right side
    216,204.79x = 36,016,882,040.96
  5. Step 5: Solve for x
    x = 36,016,882,040.96/216,204.79
  6. Step 6: Final answer
    x = 166,586.88

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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.