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Finding the Fourth Proportional to 188,195.88, 259,707.78 and 107,636.52

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Solution

The fourth proportional to 188,195.88, 259,707.78 and 107,636.52 is: 148,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,195.88 : 259,707.78 = 107,636.52 : x
  2. Step 2: Convert to fraction form
    188,195.88/259,707.78 = 107,636.52/x
  3. Step 3: Cross multiply
    188,195.88x = 259,707.78 × 107,636.52
  4. Step 4: Simplify right side
    188,195.88x = 27,954,041,656.13
  5. Step 5: Solve for x
    x = 27,954,041,656.13/188,195.88
  6. Step 6: Final answer
    x = 148,536.95

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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.