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Finding the Fourth Proportional to 102,120.75, 140,857.38 and 66,246.66

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Solution

The fourth proportional to 102,120.75, 140,857.38 and 66,246.66 is: 91,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 140,857.38 = 66,246.66 : x
  2. Step 2: Convert to fraction form
    102,120.75/140,857.38 = 66,246.66/x
  3. Step 3: Cross multiply
    102,120.75x = 140,857.38 × 66,246.66
  4. Step 4: Simplify right side
    102,120.75x = 9,331,330,961.35
  5. Step 5: Solve for x
    x = 9,331,330,961.35/102,120.75
  6. Step 6: Final answer
    x = 91,375.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.