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Finding the Fourth Proportional to 202,789.50, 304,184.25 and 55,045.50

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Solution

The fourth proportional to 202,789.50, 304,184.25 and 55,045.50 is: 82,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,789.50 : 304,184.25 = 55,045.50 : x
  2. Step 2: Convert to fraction form
    202,789.50/304,184.25 = 55,045.50/x
  3. Step 3: Cross multiply
    202,789.50x = 304,184.25 × 55,045.50
  4. Step 4: Simplify right side
    202,789.50x = 16,743,974,133.38
  5. Step 5: Solve for x
    x = 16,743,974,133.38/202,789.50
  6. Step 6: Final answer
    x = 82,568.25

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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.