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Finding the Fourth Proportional to 206,020.23, 309,078.54 and 63,858.06

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Solution

The fourth proportional to 206,020.23, 309,078.54 and 63,858.06 is: 95,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,020.23 : 309,078.54 = 63,858.06 : x
  2. Step 2: Convert to fraction form
    206,020.23/309,078.54 = 63,858.06/x
  3. Step 3: Cross multiply
    206,020.23x = 309,078.54 × 63,858.06
  4. Step 4: Simplify right side
    206,020.23x = 19,737,155,952.03
  5. Step 5: Solve for x
    x = 19,737,155,952.03/206,020.23
  6. Step 6: Final answer
    x = 95,802.03

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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.