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Finding the Fourth Proportional to 150,589.44, 207,817.92 and 83,520

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Solution

The fourth proportional to 150,589.44, 207,817.92 and 83,520 is: 115,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,589.44 : 207,817.92 = 83,520 : x
  2. Step 2: Convert to fraction form
    150,589.44/207,817.92 = 83,520/x
  3. Step 3: Cross multiply
    150,589.44x = 207,817.92 × 83,520
  4. Step 4: Simplify right side
    150,589.44x = 17,356,952,678.40
  5. Step 5: Solve for x
    x = 17,356,952,678.40/150,589.44
  6. Step 6: Final answer
    x = 115,260.09

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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.