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Finding the Fourth Proportional to 206,119.76, 309,194.04 and 65,889.68

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Solution

The fourth proportional to 206,119.76, 309,194.04 and 65,889.68 is: 98,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,119.76 : 309,194.04 = 65,889.68 : x
  2. Step 2: Convert to fraction form
    206,119.76/309,194.04 = 65,889.68/x
  3. Step 3: Cross multiply
    206,119.76x = 309,194.04 × 65,889.68
  4. Step 4: Simplify right side
    206,119.76x = 20,372,696,353.51
  5. Step 5: Solve for x
    x = 20,372,696,353.51/206,119.76
  6. Step 6: Final answer
    x = 98,839.12

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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.