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Finding the Fourth Proportional to 202,212.75, 303,319.14 and 54,468.75

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Solution

The fourth proportional to 202,212.75, 303,319.14 and 54,468.75 is: 81,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212.75 : 303,319.14 = 54,468.75 : x
  2. Step 2: Convert to fraction form
    202,212.75/303,319.14 = 54,468.75/x
  3. Step 3: Cross multiply
    202,212.75x = 303,319.14 × 54,468.75
  4. Step 4: Simplify right side
    202,212.75x = 16,521,414,406.88
  5. Step 5: Solve for x
    x = 16,521,414,406.88/202,212.75
  6. Step 6: Final answer
    x = 81,703.13

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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.