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Finding the Fourth Proportional to 205,226.40, 307,839.60 and 72,256.80

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Solution

The fourth proportional to 205,226.40, 307,839.60 and 72,256.80 is: 108,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,226.40 : 307,839.60 = 72,256.80 : x
  2. Step 2: Convert to fraction form
    205,226.40/307,839.60 = 72,256.80/x
  3. Step 3: Cross multiply
    205,226.40x = 307,839.60 × 72,256.80
  4. Step 4: Simplify right side
    205,226.40x = 22,243,504,409.28
  5. Step 5: Solve for x
    x = 22,243,504,409.28/205,226.40
  6. Step 6: Final answer
    x = 108,385.20

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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.