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Finding the Fourth Proportional to 205,918.80, 308,878.20 and 72,949.20

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Solution

The fourth proportional to 205,918.80, 308,878.20 and 72,949.20 is: 109,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,918.80 : 308,878.20 = 72,949.20 : x
  2. Step 2: Convert to fraction form
    205,918.80/308,878.20 = 72,949.20/x
  3. Step 3: Cross multiply
    205,918.80x = 308,878.20 × 72,949.20
  4. Step 4: Simplify right side
    205,918.80x = 22,532,417,587.44
  5. Step 5: Solve for x
    x = 22,532,417,587.44/205,918.80
  6. Step 6: Final answer
    x = 109,423.80

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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.