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Finding the Fourth Proportional to 216,474.16, 298,723.24 and 120,962.20

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Solution

The fourth proportional to 216,474.16, 298,723.24 and 120,962.20 is: 166,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,474.16 : 298,723.24 = 120,962.20 : x
  2. Step 2: Convert to fraction form
    216,474.16/298,723.24 = 120,962.20/x
  3. Step 3: Cross multiply
    216,474.16x = 298,723.24 × 120,962.20
  4. Step 4: Simplify right side
    216,474.16x = 36,134,220,301.53
  5. Step 5: Solve for x
    x = 36,134,220,301.53/216,474.16
  6. Step 6: Final answer
    x = 166,921.63

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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.