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Finding the Fourth Proportional to 202,859.57, 304,317.03 and 84,503.24

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Solution

The fourth proportional to 202,859.57, 304,317.03 and 84,503.24 is: 126,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,859.57 : 304,317.03 = 84,503.24 : x
  2. Step 2: Convert to fraction form
    202,859.57/304,317.03 = 84,503.24/x
  3. Step 3: Cross multiply
    202,859.57x = 304,317.03 × 84,503.24
  4. Step 4: Simplify right side
    202,859.57x = 25,715,773,500.59
  5. Step 5: Solve for x
    x = 25,715,773,500.59/202,859.57
  6. Step 6: Final answer
    x = 126,766.38

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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.