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Finding the Fourth Proportional to 225,556.39, 337,978.62 and 83,205.77

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Solution

The fourth proportional to 225,556.39, 337,978.62 and 83,205.77 is: 124,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,556.39 : 337,978.62 = 83,205.77 : x
  2. Step 2: Convert to fraction form
    225,556.39/337,978.62 = 83,205.77/x
  3. Step 3: Cross multiply
    225,556.39x = 337,978.62 × 83,205.77
  4. Step 4: Simplify right side
    225,556.39x = 28,121,772,165.58
  5. Step 5: Solve for x
    x = 28,121,772,165.58/225,556.39
  6. Step 6: Final answer
    x = 124,677.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.