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Finding the Fourth Proportional to 205,867.80, 308,801.70 and 81,192.60

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Solution

The fourth proportional to 205,867.80, 308,801.70 and 81,192.60 is: 121,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,867.80 : 308,801.70 = 81,192.60 : x
  2. Step 2: Convert to fraction form
    205,867.80/308,801.70 = 81,192.60/x
  3. Step 3: Cross multiply
    205,867.80x = 308,801.70 × 81,192.60
  4. Step 4: Simplify right side
    205,867.80x = 25,072,412,907.42
  5. Step 5: Solve for x
    x = 25,072,412,907.42/205,867.80
  6. Step 6: Final answer
    x = 121,788.90

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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.