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Finding the Fourth Proportional to 205,264.60, 308,213.70 and 111,952.60

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Solution

The fourth proportional to 205,264.60, 308,213.70 and 111,952.60 is: 168,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,264.60 : 308,213.70 = 111,952.60 : x
  2. Step 2: Convert to fraction form
    205,264.60/308,213.70 = 111,952.60/x
  3. Step 3: Cross multiply
    205,264.60x = 308,213.70 × 111,952.60
  4. Step 4: Simplify right side
    205,264.60x = 34,505,325,070.62
  5. Step 5: Solve for x
    x = 34,505,325,070.62/205,264.60
  6. Step 6: Final answer
    x = 168,101.68

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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.