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Finding the Fourth Proportional to 216,003.38, 298,084.85 and 120,510.09

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Solution

The fourth proportional to 216,003.38, 298,084.85 and 120,510.09 is: 166,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,003.38 : 298,084.85 = 120,510.09 : x
  2. Step 2: Convert to fraction form
    216,003.38/298,084.85 = 120,510.09/x
  3. Step 3: Cross multiply
    216,003.38x = 298,084.85 × 120,510.09
  4. Step 4: Simplify right side
    216,003.38x = 35,922,232,101.14
  5. Step 5: Solve for x
    x = 35,922,232,101.14/216,003.38
  6. Step 6: Final answer
    x = 166,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.