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Finding the Fourth Proportional to 202,199.97, 303,307.68 and 52,436.34

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Solution

The fourth proportional to 202,199.97, 303,307.68 and 52,436.34 is: 78,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,199.97 : 303,307.68 = 52,436.34 : x
  2. Step 2: Convert to fraction form
    202,199.97/303,307.68 = 52,436.34/x
  3. Step 3: Cross multiply
    202,199.97x = 303,307.68 × 52,436.34
  4. Step 4: Simplify right side
    202,199.97x = 15,904,344,633.09
  5. Step 5: Solve for x
    x = 15,904,344,633.09/202,199.97
  6. Step 6: Final answer
    x = 78,656.51

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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.