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Finding the Fourth Proportional to 202,999.67, 304,361.11 and 102,966.98

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Solution

The fourth proportional to 202,999.67, 304,361.11 and 102,966.98 is: 154,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,999.67 : 304,361.11 = 102,966.98 : x
  2. Step 2: Convert to fraction form
    202,999.67/304,361.11 = 102,966.98/x
  3. Step 3: Cross multiply
    202,999.67x = 304,361.11 × 102,966.98
  4. Step 4: Simplify right side
    202,999.67x = 31,339,142,933.05
  5. Step 5: Solve for x
    x = 31,339,142,933.05/202,999.67
  6. Step 6: Final answer
    x = 154,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.