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Finding the Fourth Proportional to 206,751.61, 310,189.67 and 64,591.14

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Solution

The fourth proportional to 206,751.61, 310,189.67 and 64,591.14 is: 96,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751.61 : 310,189.67 = 64,591.14 : x
  2. Step 2: Convert to fraction form
    206,751.61/310,189.67 = 64,591.14/x
  3. Step 3: Cross multiply
    206,751.61x = 310,189.67 × 64,591.14
  4. Step 4: Simplify right side
    206,751.61x = 20,035,504,078.57
  5. Step 5: Solve for x
    x = 20,035,504,078.57/206,751.61
  6. Step 6: Final answer
    x = 96,906.16

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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.