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Finding the Fourth Proportional to 202,750, 304,126.12 and 55,006

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Solution

The fourth proportional to 202,750, 304,126.12 and 55,006 is: 82,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,750 : 304,126.12 = 55,006 : x
  2. Step 2: Convert to fraction form
    202,750/304,126.12 = 55,006/x
  3. Step 3: Cross multiply
    202,750x = 304,126.12 × 55,006
  4. Step 4: Simplify right side
    202,750x = 16,728,761,356.72
  5. Step 5: Solve for x
    x = 16,728,761,356.72/202,750
  6. Step 6: Final answer
    x = 82,509.30

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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.