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Finding the Fourth Proportional to 207,202.96, 310,839.78 and 65,020.96

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Solution

The fourth proportional to 207,202.96, 310,839.78 and 65,020.96 is: 97,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,202.96 : 310,839.78 = 65,020.96 : x
  2. Step 2: Convert to fraction form
    207,202.96/310,839.78 = 65,020.96/x
  3. Step 3: Cross multiply
    207,202.96x = 310,839.78 × 65,020.96
  4. Step 4: Simplify right side
    207,202.96x = 20,211,100,901.79
  5. Step 5: Solve for x
    x = 20,211,100,901.79/207,202.96
  6. Step 6: Final answer
    x = 97,542.53

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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.