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Finding the Fourth Proportional to 206,583.36, 309,772.72 and 73,443.68

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Solution

The fourth proportional to 206,583.36, 309,772.72 and 73,443.68 is: 110,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,583.36 : 309,772.72 = 73,443.68 : x
  2. Step 2: Convert to fraction form
    206,583.36/309,772.72 = 73,443.68/x
  3. Step 3: Cross multiply
    206,583.36x = 309,772.72 × 73,443.68
  4. Step 4: Simplify right side
    206,583.36x = 22,750,848,520.41
  5. Step 5: Solve for x
    x = 22,750,848,520.41/206,583.36
  6. Step 6: Final answer
    x = 110,129.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.