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Finding the Fourth Proportional to 199,857.64, 275,819.27 and 113,820.26

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Solution

The fourth proportional to 199,857.64, 275,819.27 and 113,820.26 is: 157,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,857.64 : 275,819.27 = 113,820.26 : x
  2. Step 2: Convert to fraction form
    199,857.64/275,819.27 = 113,820.26/x
  3. Step 3: Cross multiply
    199,857.64x = 275,819.27 × 113,820.26
  4. Step 4: Simplify right side
    199,857.64x = 31,393,820,455.31
  5. Step 5: Solve for x
    x = 31,393,820,455.31/199,857.64
  6. Step 6: Final answer
    x = 157,080.92

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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.