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Finding the Fourth Proportional to 202,287.40, 303,463.95 and 75,937.57

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Solution

The fourth proportional to 202,287.40, 303,463.95 and 75,937.57 is: 113,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.40 : 303,463.95 = 75,937.57 : x
  2. Step 2: Convert to fraction form
    202,287.40/303,463.95 = 75,937.57/x
  3. Step 3: Cross multiply
    202,287.40x = 303,463.95 × 75,937.57
  4. Step 4: Simplify right side
    202,287.40x = 23,044,314,945.60
  5. Step 5: Solve for x
    x = 23,044,314,945.60/202,287.40
  6. Step 6: Final answer
    x = 113,918.69

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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.