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Finding the Fourth Proportional to 146,200.52, 201,761.60 and 89,600.96

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Solution

The fourth proportional to 146,200.52, 201,761.60 and 89,600.96 is: 123,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.52 : 201,761.60 = 89,600.96 : x
  2. Step 2: Convert to fraction form
    146,200.52/201,761.60 = 89,600.96/x
  3. Step 3: Cross multiply
    146,200.52x = 201,761.60 × 89,600.96
  4. Step 4: Simplify right side
    146,200.52x = 18,078,033,051.14
  5. Step 5: Solve for x
    x = 18,078,033,051.14/146,200.52
  6. Step 6: Final answer
    x = 123,652.32

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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.