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Finding the Fourth Proportional to 202,228.75, 303,343.14 and 54,484.75

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Solution

The fourth proportional to 202,228.75, 303,343.14 and 54,484.75 is: 81,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228.75 : 303,343.14 = 54,484.75 : x
  2. Step 2: Convert to fraction form
    202,228.75/303,343.14 = 54,484.75/x
  3. Step 3: Cross multiply
    202,228.75x = 303,343.14 × 54,484.75
  4. Step 4: Simplify right side
    202,228.75x = 16,527,575,147.12
  5. Step 5: Solve for x
    x = 16,527,575,147.12/202,228.75
  6. Step 6: Final answer
    x = 81,727.13

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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.