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Finding the Fourth Proportional to 202,655.88, 303,937.56 and 76,309.44

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Solution

The fourth proportional to 202,655.88, 303,937.56 and 76,309.44 is: 114,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,655.88 : 303,937.56 = 76,309.44 : x
  2. Step 2: Convert to fraction form
    202,655.88/303,937.56 = 76,309.44/x
  3. Step 3: Cross multiply
    202,655.88x = 303,937.56 × 76,309.44
  4. Step 4: Simplify right side
    202,655.88x = 23,193,304,998.57
  5. Step 5: Solve for x
    x = 23,193,304,998.57/202,655.88
  6. Step 6: Final answer
    x = 114,446.74

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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.