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Finding the Fourth Proportional to 188,254.87, 259,793.93 and 102,214.88

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Solution

The fourth proportional to 188,254.87, 259,793.93 and 102,214.88 is: 141,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254.87 : 259,793.93 = 102,214.88 : x
  2. Step 2: Convert to fraction form
    188,254.87/259,793.93 = 102,214.88/x
  3. Step 3: Cross multiply
    188,254.87x = 259,793.93 × 102,214.88
  4. Step 4: Simplify right side
    188,254.87x = 26,554,805,310.47
  5. Step 5: Solve for x
    x = 26,554,805,310.47/188,254.87
  6. Step 6: Final answer
    x = 141,057.74

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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.