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Finding the Fourth Proportional to 206,548.72, 309,761.04 and 73,411.48

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Solution

The fourth proportional to 206,548.72, 309,761.04 and 73,411.48 is: 110,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,548.72 : 309,761.04 = 73,411.48 : x
  2. Step 2: Convert to fraction form
    206,548.72/309,761.04 = 73,411.48/x
  3. Step 3: Cross multiply
    206,548.72x = 309,761.04 × 73,411.48
  4. Step 4: Simplify right side
    206,548.72x = 22,740,016,392.74
  5. Step 5: Solve for x
    x = 22,740,016,392.74/206,548.72
  6. Step 6: Final answer
    x = 110,095.17

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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.