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Finding the Fourth Proportional to 202,035.33, 303,239.94 and 102,265.59

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Solution

The fourth proportional to 202,035.33, 303,239.94 and 102,265.59 is: 153,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,035.33 : 303,239.94 = 102,265.59 : x
  2. Step 2: Convert to fraction form
    202,035.33/303,239.94 = 102,265.59/x
  3. Step 3: Cross multiply
    202,035.33x = 303,239.94 × 102,265.59
  4. Step 4: Simplify right side
    202,035.33x = 31,011,011,375.66
  5. Step 5: Solve for x
    x = 31,011,011,375.66/202,035.33
  6. Step 6: Final answer
    x = 153,493.01

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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.