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Finding the Fourth Proportional to 145,813.72, 201,220.32 and 82,150.15

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Solution

The fourth proportional to 145,813.72, 201,220.32 and 82,150.15 is: 113,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,813.72 : 201,220.32 = 82,150.15 : x
  2. Step 2: Convert to fraction form
    145,813.72/201,220.32 = 82,150.15/x
  3. Step 3: Cross multiply
    145,813.72x = 201,220.32 × 82,150.15
  4. Step 4: Simplify right side
    145,813.72x = 16,530,279,471.05
  5. Step 5: Solve for x
    x = 16,530,279,471.05/145,813.72
  6. Step 6: Final answer
    x = 113,365.73

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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.