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Finding the Fourth Proportional to 188,481.48, 260,097.84 and 103,598

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Solution

The fourth proportional to 188,481.48, 260,097.84 and 103,598 is: 142,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,481.48 : 260,097.84 = 103,598 : x
  2. Step 2: Convert to fraction form
    188,481.48/260,097.84 = 103,598/x
  3. Step 3: Cross multiply
    188,481.48x = 260,097.84 × 103,598
  4. Step 4: Simplify right side
    188,481.48x = 26,945,616,028.32
  5. Step 5: Solve for x
    x = 26,945,616,028.32/188,481.48
  6. Step 6: Final answer
    x = 142,961.61

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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.