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Finding the Fourth Proportional to 202,702.20, 303,638.13 and 113,768.97

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Solution

The fourth proportional to 202,702.20, 303,638.13 and 113,768.97 is: 170,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,702.20 : 303,638.13 = 113,768.97 : x
  2. Step 2: Convert to fraction form
    202,702.20/303,638.13 = 113,768.97/x
  3. Step 3: Cross multiply
    202,702.20x = 303,638.13 × 113,768.97
  4. Step 4: Simplify right side
    202,702.20x = 34,544,597,302.83
  5. Step 5: Solve for x
    x = 34,544,597,302.83/202,702.20
  6. Step 6: Final answer
    x = 170,420.44

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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.