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Finding the Fourth Proportional to 188,186.63, 282,335.39 and 75,809.01

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Solution

The fourth proportional to 188,186.63, 282,335.39 and 75,809.01 is: 113,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,186.63 : 282,335.39 = 75,809.01 : x
  2. Step 2: Convert to fraction form
    188,186.63/282,335.39 = 75,809.01/x
  3. Step 3: Cross multiply
    188,186.63x = 282,335.39 × 75,809.01
  4. Step 4: Simplify right side
    188,186.63x = 21,403,567,367.86
  5. Step 5: Solve for x
    x = 21,403,567,367.86/188,186.63
  6. Step 6: Final answer
    x = 113,735.86

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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.