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Finding the Fourth Proportional to 202,226.75, 303,340.14 and 54,482.75

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Solution

The fourth proportional to 202,226.75, 303,340.14 and 54,482.75 is: 81,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,226.75 : 303,340.14 = 54,482.75 : x
  2. Step 2: Convert to fraction form
    202,226.75/303,340.14 = 54,482.75/x
  3. Step 3: Cross multiply
    202,226.75x = 303,340.14 × 54,482.75
  4. Step 4: Simplify right side
    202,226.75x = 16,526,805,012.59
  5. Step 5: Solve for x
    x = 16,526,805,012.59/202,226.75
  6. Step 6: Final answer
    x = 81,724.13

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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.