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Finding the Fourth Proportional to 216,208.41, 298,381.49 and 120,715.08

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Solution

The fourth proportional to 216,208.41, 298,381.49 and 120,715.08 is: 166,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,208.41 : 298,381.49 = 120,715.08 : x
  2. Step 2: Convert to fraction form
    216,208.41/298,381.49 = 120,715.08/x
  3. Step 3: Cross multiply
    216,208.41x = 298,381.49 × 120,715.08
  4. Step 4: Simplify right side
    216,208.41x = 36,019,145,435.87
  5. Step 5: Solve for x
    x = 36,019,145,435.87/216,208.41
  6. Step 6: Final answer
    x = 166,594.56

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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.