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Finding the Fourth Proportional to 202,961.64, 280,081.34 and 112,321.38

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Solution

The fourth proportional to 202,961.64, 280,081.34 and 112,321.38 is: 155,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.64 : 280,081.34 = 112,321.38 : x
  2. Step 2: Convert to fraction form
    202,961.64/280,081.34 = 112,321.38/x
  3. Step 3: Cross multiply
    202,961.64x = 280,081.34 × 112,321.38
  4. Step 4: Simplify right side
    202,961.64x = 31,459,122,621.05
  5. Step 5: Solve for x
    x = 31,459,122,621.05/202,961.64
  6. Step 6: Final answer
    x = 155,000.34

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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.