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Finding the Fourth Proportional to 206,411.16, 309,754.82 and 75,083.16

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Solution

The fourth proportional to 206,411.16, 309,754.82 and 75,083.16 is: 112,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.16 : 309,754.82 = 75,083.16 : x
  2. Step 2: Convert to fraction form
    206,411.16/309,754.82 = 75,083.16/x
  3. Step 3: Cross multiply
    206,411.16x = 309,754.82 × 75,083.16
  4. Step 4: Simplify right side
    206,411.16x = 23,257,370,710.83
  5. Step 5: Solve for x
    x = 23,257,370,710.83/206,411.16
  6. Step 6: Final answer
    x = 112,674.97

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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.