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Finding the Fourth Proportional to 206,174.63, 309,295.56 and 73,026.02

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Solution

The fourth proportional to 206,174.63, 309,295.56 and 73,026.02 is: 109,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,174.63 : 309,295.56 = 73,026.02 : x
  2. Step 2: Convert to fraction form
    206,174.63/309,295.56 = 73,026.02/x
  3. Step 3: Cross multiply
    206,174.63x = 309,295.56 × 73,026.02
  4. Step 4: Simplify right side
    206,174.63x = 22,586,623,750.47
  5. Step 5: Solve for x
    x = 22,586,623,750.47/206,174.63
  6. Step 6: Final answer
    x = 109,550.94

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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.