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Finding the Fourth Proportional to 202,938.56, 304,423.72 and 68,003.09

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Solution

The fourth proportional to 202,938.56, 304,423.72 and 68,003.09 is: 102,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.56 : 304,423.72 = 68,003.09 : x
  2. Step 2: Convert to fraction form
    202,938.56/304,423.72 = 68,003.09/x
  3. Step 3: Cross multiply
    202,938.56x = 304,423.72 × 68,003.09
  4. Step 4: Simplify right side
    202,938.56x = 20,701,754,791.14
  5. Step 5: Solve for x
    x = 20,701,754,791.14/202,938.56
  6. Step 6: Final answer
    x = 102,009.96

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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.