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Finding the Fourth Proportional to 206,961.96, 310,304.70 and 64,759.08

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Solution

The fourth proportional to 206,961.96, 310,304.70 and 64,759.08 is: 97,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,961.96 : 310,304.70 = 64,759.08 : x
  2. Step 2: Convert to fraction form
    206,961.96/310,304.70 = 64,759.08/x
  3. Step 3: Cross multiply
    206,961.96x = 310,304.70 × 64,759.08
  4. Step 4: Simplify right side
    206,961.96x = 20,095,046,891.68
  5. Step 5: Solve for x
    x = 20,095,046,891.68/206,961.96
  6. Step 6: Final answer
    x = 97,095.36

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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.