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Finding the Fourth Proportional to 202,234.75, 303,352.14 and 54,490.75

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Solution

The fourth proportional to 202,234.75, 303,352.14 and 54,490.75 is: 81,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234.75 : 303,352.14 = 54,490.75 : x
  2. Step 2: Convert to fraction form
    202,234.75/303,352.14 = 54,490.75/x
  3. Step 3: Cross multiply
    202,234.75x = 303,352.14 × 54,490.75
  4. Step 4: Simplify right side
    202,234.75x = 16,529,885,622.71
  5. Step 5: Solve for x
    x = 16,529,885,622.71/202,234.75
  6. Step 6: Final answer
    x = 81,736.13

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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.