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Finding the Fourth Proportional to 205,878.80, 308,841.24 and 65,605.52

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Solution

The fourth proportional to 205,878.80, 308,841.24 and 65,605.52 is: 98,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.80 : 308,841.24 = 65,605.52 : x
  2. Step 2: Convert to fraction form
    205,878.80/308,841.24 = 65,605.52/x
  3. Step 3: Cross multiply
    205,878.80x = 308,841.24 × 65,605.52
  4. Step 4: Simplify right side
    205,878.80x = 20,261,690,147.64
  5. Step 5: Solve for x
    x = 20,261,690,147.64/205,878.80
  6. Step 6: Final answer
    x = 98,415.62

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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.