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Finding the Fourth Proportional to 216,376.31, 298,593.84 and 120,883.69

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Solution

The fourth proportional to 216,376.31, 298,593.84 and 120,883.69 is: 166,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376.31 : 298,593.84 = 120,883.69 : x
  2. Step 2: Convert to fraction form
    216,376.31/298,593.84 = 120,883.69/x
  3. Step 3: Cross multiply
    216,376.31x = 298,593.84 × 120,883.69
  4. Step 4: Simplify right side
    216,376.31x = 36,095,126,017.03
  5. Step 5: Solve for x
    x = 36,095,126,017.03/216,376.31
  6. Step 6: Final answer
    x = 166,816.44

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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.