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Finding the Fourth Proportional to 185,906.22, 256,550.94 and 101,023.08

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Solution

The fourth proportional to 185,906.22, 256,550.94 and 101,023.08 is: 139,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906.22 : 256,550.94 = 101,023.08 : x
  2. Step 2: Convert to fraction form
    185,906.22/256,550.94 = 101,023.08/x
  3. Step 3: Cross multiply
    185,906.22x = 256,550.94 × 101,023.08
  4. Step 4: Simplify right side
    185,906.22x = 25,917,566,135.70
  5. Step 5: Solve for x
    x = 25,917,566,135.70/185,906.22
  6. Step 6: Final answer
    x = 139,412.04

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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.