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Finding the Fourth Proportional to 204,153.69, 306,162.50 and 85,802.97

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Solution

The fourth proportional to 204,153.69, 306,162.50 and 85,802.97 is: 128,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,153.69 : 306,162.50 = 85,802.97 : x
  2. Step 2: Convert to fraction form
    204,153.69/306,162.50 = 85,802.97/x
  3. Step 3: Cross multiply
    204,153.69x = 306,162.50 × 85,802.97
  4. Step 4: Simplify right side
    204,153.69x = 26,269,651,373.61
  5. Step 5: Solve for x
    x = 26,269,651,373.61/204,153.69
  6. Step 6: Final answer
    x = 128,675.86

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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.