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Finding the Fourth Proportional to 204,001.74, 305,690.86 and 85,608.50

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Solution

The fourth proportional to 204,001.74, 305,690.86 and 85,608.50 is: 128,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,001.74 : 305,690.86 = 85,608.50 : x
  2. Step 2: Convert to fraction form
    204,001.74/305,690.86 = 85,608.50/x
  3. Step 3: Cross multiply
    204,001.74x = 305,690.86 × 85,608.50
  4. Step 4: Simplify right side
    204,001.74x = 26,169,734,566.87
  5. Step 5: Solve for x
    x = 26,169,734,566.87/204,001.74
  6. Step 6: Final answer
    x = 128,281.92

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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.