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Finding the Fourth Proportional to 206,829.20, 310,297.80 and 66,591.20

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Solution

The fourth proportional to 206,829.20, 310,297.80 and 66,591.20 is: 99,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.20 : 310,297.80 = 66,591.20 : x
  2. Step 2: Convert to fraction form
    206,829.20/310,297.80 = 66,591.20/x
  3. Step 3: Cross multiply
    206,829.20x = 310,297.80 × 66,591.20
  4. Step 4: Simplify right side
    206,829.20x = 20,663,102,859.36
  5. Step 5: Solve for x
    x = 20,663,102,859.36/206,829.20
  6. Step 6: Final answer
    x = 99,904.19

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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.