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Finding the Fourth Proportional to 188,504.68, 260,138.30 and 102,463.61

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Solution

The fourth proportional to 188,504.68, 260,138.30 and 102,463.61 is: 141,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504.68 : 260,138.30 = 102,463.61 : x
  2. Step 2: Convert to fraction form
    188,504.68/260,138.30 = 102,463.61/x
  3. Step 3: Cross multiply
    188,504.68x = 260,138.30 × 102,463.61
  4. Step 4: Simplify right side
    188,504.68x = 26,654,709,317.26
  5. Step 5: Solve for x
    x = 26,654,709,317.26/188,504.68
  6. Step 6: Final answer
    x = 141,400.78

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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.