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Finding the Fourth Proportional to 216,438.88, 298,683.84 and 120,944.48

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Solution

The fourth proportional to 216,438.88, 298,683.84 and 120,944.48 is: 166,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.88 : 298,683.84 = 120,944.48 : x
  2. Step 2: Convert to fraction form
    216,438.88/298,683.84 = 120,944.48/x
  3. Step 3: Cross multiply
    216,438.88x = 298,683.84 × 120,944.48
  4. Step 4: Simplify right side
    216,438.88x = 36,124,161,713.20
  5. Step 5: Solve for x
    x = 36,124,161,713.20/216,438.88
  6. Step 6: Final answer
    x = 166,902.37

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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.