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Finding the Fourth Proportional to 254,843.36, 351,695.84 and 141,668

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Solution

The fourth proportional to 254,843.36, 351,695.84 and 141,668 is: 195,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,843.36 : 351,695.84 = 141,668 : x
  2. Step 2: Convert to fraction form
    254,843.36/351,695.84 = 141,668/x
  3. Step 3: Cross multiply
    254,843.36x = 351,695.84 × 141,668
  4. Step 4: Simplify right side
    254,843.36x = 49,824,046,261.12
  5. Step 5: Solve for x
    x = 49,824,046,261.12/254,843.36
  6. Step 6: Final answer
    x = 195,508.51

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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.