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Finding the Fourth Proportional to 202,645.61, 303,974.60 and 69,524

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Solution

The fourth proportional to 202,645.61, 303,974.60 and 69,524 is: 104,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,645.61 : 303,974.60 = 69,524 : x
  2. Step 2: Convert to fraction form
    202,645.61/303,974.60 = 69,524/x
  3. Step 3: Cross multiply
    202,645.61x = 303,974.60 × 69,524
  4. Step 4: Simplify right side
    202,645.61x = 21,133,530,090.40
  5. Step 5: Solve for x
    x = 21,133,530,090.40/202,645.61
  6. Step 6: Final answer
    x = 104,288.12

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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.