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Finding the Fourth Proportional to 202,173.36, 303,318.36 and 83,822.64

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Solution

The fourth proportional to 202,173.36, 303,318.36 and 83,822.64 is: 125,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,173.36 : 303,318.36 = 83,822.64 : x
  2. Step 2: Convert to fraction form
    202,173.36/303,318.36 = 83,822.64/x
  3. Step 3: Cross multiply
    202,173.36x = 303,318.36 × 83,822.64
  4. Step 4: Simplify right side
    202,173.36x = 25,424,945,695.67
  5. Step 5: Solve for x
    x = 25,424,945,695.67/202,173.36
  6. Step 6: Final answer
    x = 125,758.14

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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.