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Finding the Fourth Proportional to 151,446.26, 208,997.26 and 83,465.68

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Solution

The fourth proportional to 151,446.26, 208,997.26 and 83,465.68 is: 115,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,446.26 : 208,997.26 = 83,465.68 : x
  2. Step 2: Convert to fraction form
    151,446.26/208,997.26 = 83,465.68/x
  3. Step 3: Cross multiply
    151,446.26x = 208,997.26 × 83,465.68
  4. Step 4: Simplify right side
    151,446.26x = 17,444,098,424.04
  5. Step 5: Solve for x
    x = 17,444,098,424.04/151,446.26
  6. Step 6: Final answer
    x = 115,183.42

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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.