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Finding the Fourth Proportional to 205,919.14, 308,806.32 and 61,781.98

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Solution

The fourth proportional to 205,919.14, 308,806.32 and 61,781.98 is: 92,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.14 : 308,806.32 = 61,781.98 : x
  2. Step 2: Convert to fraction form
    205,919.14/308,806.32 = 61,781.98/x
  3. Step 3: Cross multiply
    205,919.14x = 308,806.32 × 61,781.98
  4. Step 4: Simplify right side
    205,919.14x = 19,078,665,886.11
  5. Step 5: Solve for x
    x = 19,078,665,886.11/205,919.14
  6. Step 6: Final answer
    x = 92,651.25

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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.