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Finding the Fourth Proportional to 216,098.46, 298,203.74 and 120,611.31

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Solution

The fourth proportional to 216,098.46, 298,203.74 and 120,611.31 is: 166,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,098.46 : 298,203.74 = 120,611.31 : x
  2. Step 2: Convert to fraction form
    216,098.46/298,203.74 = 120,611.31/x
  3. Step 3: Cross multiply
    216,098.46x = 298,203.74 × 120,611.31
  4. Step 4: Simplify right side
    216,098.46x = 35,966,743,125.24
  5. Step 5: Solve for x
    x = 35,966,743,125.24/216,098.46
  6. Step 6: Final answer
    x = 166,436.83

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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.