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Finding the Fourth Proportional to 216,442.72, 298,685.22 and 120,950.20

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Solution

The fourth proportional to 216,442.72, 298,685.22 and 120,950.20 is: 166,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,442.72 : 298,685.22 = 120,950.20 : x
  2. Step 2: Convert to fraction form
    216,442.72/298,685.22 = 120,950.20/x
  3. Step 3: Cross multiply
    216,442.72x = 298,685.22 × 120,950.20
  4. Step 4: Simplify right side
    216,442.72x = 36,126,037,096.04
  5. Step 5: Solve for x
    x = 36,126,037,096.04/216,442.72
  6. Step 6: Final answer
    x = 166,908.07

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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.