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Finding the Fourth Proportional to 202,825.44, 279,874.26 and 112,169.16

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Solution

The fourth proportional to 202,825.44, 279,874.26 and 112,169.16 is: 154,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,825.44 : 279,874.26 = 112,169.16 : x
  2. Step 2: Convert to fraction form
    202,825.44/279,874.26 = 112,169.16/x
  3. Step 3: Cross multiply
    202,825.44x = 279,874.26 × 112,169.16
  4. Step 4: Simplify right side
    202,825.44x = 31,393,260,649.82
  5. Step 5: Solve for x
    x = 31,393,260,649.82/202,825.44
  6. Step 6: Final answer
    x = 154,779.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.