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Finding the Fourth Proportional to 202,089.30, 303,243.30 and 83,772.60

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Solution

The fourth proportional to 202,089.30, 303,243.30 and 83,772.60 is: 125,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089.30 : 303,243.30 = 83,772.60 : x
  2. Step 2: Convert to fraction form
    202,089.30/303,243.30 = 83,772.60/x
  3. Step 3: Cross multiply
    202,089.30x = 303,243.30 × 83,772.60
  4. Step 4: Simplify right side
    202,089.30x = 25,403,479,673.58
  5. Step 5: Solve for x
    x = 25,403,479,673.58/202,089.30
  6. Step 6: Final answer
    x = 125,704.23

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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.