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Finding the Fourth Proportional to 202,118.83, 303,179.14 and 52,348.48

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Solution

The fourth proportional to 202,118.83, 303,179.14 and 52,348.48 is: 78,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,118.83 : 303,179.14 = 52,348.48 : x
  2. Step 2: Convert to fraction form
    202,118.83/303,179.14 = 52,348.48/x
  3. Step 3: Cross multiply
    202,118.83x = 303,179.14 × 52,348.48
  4. Step 4: Simplify right side
    202,118.83x = 15,870,965,630.81
  5. Step 5: Solve for x
    x = 15,870,965,630.81/202,118.83
  6. Step 6: Final answer
    x = 78,522.95

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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.