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Finding the Fourth Proportional to 202,108.23, 278,906.09 and 116,069.02

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Solution

The fourth proportional to 202,108.23, 278,906.09 and 116,069.02 is: 160,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108.23 : 278,906.09 = 116,069.02 : x
  2. Step 2: Convert to fraction form
    202,108.23/278,906.09 = 116,069.02/x
  3. Step 3: Cross multiply
    202,108.23x = 278,906.09 × 116,069.02
  4. Step 4: Simplify right side
    202,108.23x = 32,372,355,260.72
  5. Step 5: Solve for x
    x = 32,372,355,260.72/202,108.23
  6. Step 6: Final answer
    x = 160,173.36

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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.