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Finding the Fourth Proportional to 206,337.22, 309,533.37 and 81,649.06

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Solution

The fourth proportional to 206,337.22, 309,533.37 and 81,649.06 is: 122,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,337.22 : 309,533.37 = 81,649.06 : x
  2. Step 2: Convert to fraction form
    206,337.22/309,533.37 = 81,649.06/x
  3. Step 3: Cross multiply
    206,337.22x = 309,533.37 × 81,649.06
  4. Step 4: Simplify right side
    206,337.22x = 25,273,108,699.13
  5. Step 5: Solve for x
    x = 25,273,108,699.13/206,337.22
  6. Step 6: Final answer
    x = 122,484.49

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