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Finding the Fourth Proportional to 202,805.92, 304,226.52 and 53,045.56

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Solution

The fourth proportional to 202,805.92, 304,226.52 and 53,045.56 is: 79,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,805.92 : 304,226.52 = 53,045.56 : x
  2. Step 2: Convert to fraction form
    202,805.92/304,226.52 = 53,045.56/x
  3. Step 3: Cross multiply
    202,805.92x = 304,226.52 × 53,045.56
  4. Step 4: Simplify right side
    202,805.92x = 16,137,866,120.25
  5. Step 5: Solve for x
    x = 16,137,866,120.25/202,805.92
  6. Step 6: Final answer
    x = 79,572.95

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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.