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Finding the Fourth Proportional to 206,033.40, 309,084.99 and 71,060.82

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Solution

The fourth proportional to 206,033.40, 309,084.99 and 71,060.82 is: 106,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033.40 : 309,084.99 = 71,060.82 : x
  2. Step 2: Convert to fraction form
    206,033.40/309,084.99 = 71,060.82/x
  3. Step 3: Cross multiply
    206,033.40x = 309,084.99 × 71,060.82
  4. Step 4: Simplify right side
    206,033.40x = 21,963,832,482.71
  5. Step 5: Solve for x
    x = 21,963,832,482.71/206,033.40
  6. Step 6: Final answer
    x = 106,603.26

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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.