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Finding the Fourth Proportional to 202,144.25, 303,086.75 and 83,897.21

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Solution

The fourth proportional to 202,144.25, 303,086.75 and 83,897.21 is: 125,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.25 : 303,086.75 = 83,897.21 : x
  2. Step 2: Convert to fraction form
    202,144.25/303,086.75 = 83,897.21/x
  3. Step 3: Cross multiply
    202,144.25x = 303,086.75 × 83,897.21
  4. Step 4: Simplify right side
    202,144.25x = 25,428,132,293.48
  5. Step 5: Solve for x
    x = 25,428,132,293.48/202,144.25
  6. Step 6: Final answer
    x = 125,792.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.