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Finding the Fourth Proportional to 188,468.80, 282,703.20 and 83,233.60

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Solution

The fourth proportional to 188,468.80, 282,703.20 and 83,233.60 is: 124,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.80 : 282,703.20 = 83,233.60 : x
  2. Step 2: Convert to fraction form
    188,468.80/282,703.20 = 83,233.60/x
  3. Step 3: Cross multiply
    188,468.80x = 282,703.20 × 83,233.60
  4. Step 4: Simplify right side
    188,468.80x = 23,530,405,067.52
  5. Step 5: Solve for x
    x = 23,530,405,067.52/188,468.80
  6. Step 6: Final answer
    x = 124,850.40

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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.