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Finding the Fourth Proportional to 206,843.60, 310,265.40 and 197,220.80

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Solution

The fourth proportional to 206,843.60, 310,265.40 and 197,220.80 is: 295,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.60 : 310,265.40 = 197,220.80 : x
  2. Step 2: Convert to fraction form
    206,843.60/310,265.40 = 197,220.80/x
  3. Step 3: Cross multiply
    206,843.60x = 310,265.40 × 197,220.80
  4. Step 4: Simplify right side
    206,843.60x = 61,190,790,400.32
  5. Step 5: Solve for x
    x = 61,190,790,400.32/206,843.60
  6. Step 6: Final answer
    x = 295,831.20

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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.