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Finding the Fourth Proportional to 202,822.32, 304,234.01 and 82,879.28

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Solution

The fourth proportional to 202,822.32, 304,234.01 and 82,879.28 is: 124,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,822.32 : 304,234.01 = 82,879.28 : x
  2. Step 2: Convert to fraction form
    202,822.32/304,234.01 = 82,879.28/x
  3. Step 3: Cross multiply
    202,822.32x = 304,234.01 × 82,879.28
  4. Step 4: Simplify right side
    202,822.32x = 25,214,695,700.31
  5. Step 5: Solve for x
    x = 25,214,695,700.31/202,822.32
  6. Step 6: Final answer
    x = 124,319.14

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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.