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Finding the Fourth Proportional to 146,505.60, 202,141.27 and 85,261.84

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Solution

The fourth proportional to 146,505.60, 202,141.27 and 85,261.84 is: 117,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,505.60 : 202,141.27 = 85,261.84 : x
  2. Step 2: Convert to fraction form
    146,505.60/202,141.27 = 85,261.84/x
  3. Step 3: Cross multiply
    146,505.60x = 202,141.27 × 85,261.84
  4. Step 4: Simplify right side
    146,505.60x = 17,234,936,620.14
  5. Step 5: Solve for x
    x = 17,234,936,620.14/146,505.60
  6. Step 6: Final answer
    x = 117,640.12

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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.