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Finding the Fourth Proportional to 188,098.47, 259,374.56 and 142,262.19

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Solution

The fourth proportional to 188,098.47, 259,374.56 and 142,262.19 is: 196,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098.47 : 259,374.56 = 142,262.19 : x
  2. Step 2: Convert to fraction form
    188,098.47/259,374.56 = 142,262.19/x
  3. Step 3: Cross multiply
    188,098.47x = 259,374.56 × 142,262.19
  4. Step 4: Simplify right side
    188,098.47x = 36,899,192,224.58
  5. Step 5: Solve for x
    x = 36,899,192,224.58/188,098.47
  6. Step 6: Final answer
    x = 196,169.55

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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.