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Finding the Fourth Proportional to 150,262.54, 207,367 and 82,285.96

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Solution

The fourth proportional to 150,262.54, 207,367 and 82,285.96 is: 113,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,262.54 : 207,367 = 82,285.96 : x
  2. Step 2: Convert to fraction form
    150,262.54/207,367 = 82,285.96/x
  3. Step 3: Cross multiply
    150,262.54x = 207,367 × 82,285.96
  4. Step 4: Simplify right side
    150,262.54x = 17,063,392,667.32
  5. Step 5: Solve for x
    x = 17,063,392,667.32/150,262.54
  6. Step 6: Final answer
    x = 113,557.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.