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Finding the Fourth Proportional to 205,893.18, 308,774.16 and 65,619

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Solution

The fourth proportional to 205,893.18, 308,774.16 and 65,619 is: 98,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,893.18 : 308,774.16 = 65,619 : x
  2. Step 2: Convert to fraction form
    205,893.18/308,774.16 = 65,619/x
  3. Step 3: Cross multiply
    205,893.18x = 308,774.16 × 65,619
  4. Step 4: Simplify right side
    205,893.18x = 20,261,451,605.04
  5. Step 5: Solve for x
    x = 20,261,451,605.04/205,893.18
  6. Step 6: Final answer
    x = 98,407.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.