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Finding the Fourth Proportional to 188,187.41, 282,336.56 and 75,809.80

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Solution

The fourth proportional to 188,187.41, 282,336.56 and 75,809.80 is: 113,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,187.41 : 282,336.56 = 75,809.80 : x
  2. Step 2: Convert to fraction form
    188,187.41/282,336.56 = 75,809.80/x
  3. Step 3: Cross multiply
    188,187.41x = 282,336.56 × 75,809.80
  4. Step 4: Simplify right side
    188,187.41x = 21,403,876,924.13
  5. Step 5: Solve for x
    x = 21,403,876,924.13/188,187.41
  6. Step 6: Final answer
    x = 113,737.03

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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.