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Finding the Fourth Proportional to 205,625.20, 283,762.20 and 116,201.20

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Solution

The fourth proportional to 205,625.20, 283,762.20 and 116,201.20 is: 160,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,625.20 : 283,762.20 = 116,201.20 : x
  2. Step 2: Convert to fraction form
    205,625.20/283,762.20 = 116,201.20/x
  3. Step 3: Cross multiply
    205,625.20x = 283,762.20 × 116,201.20
  4. Step 4: Simplify right side
    205,625.20x = 32,973,508,154.64
  5. Step 5: Solve for x
    x = 32,973,508,154.64/205,625.20
  6. Step 6: Final answer
    x = 160,357.33

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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.