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Finding the Fourth Proportional to 255,733.22, 352,911.87 and 142,555.97

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Solution

The fourth proportional to 255,733.22, 352,911.87 and 142,555.97 is: 196,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,733.22 : 352,911.87 = 142,555.97 : x
  2. Step 2: Convert to fraction form
    255,733.22/352,911.87 = 142,555.97/x
  3. Step 3: Cross multiply
    255,733.22x = 352,911.87 × 142,555.97
  4. Step 4: Simplify right side
    255,733.22x = 50,309,693,952.36
  5. Step 5: Solve for x
    x = 50,309,693,952.36/255,733.22
  6. Step 6: Final answer
    x = 196,727.25

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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.