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Finding the Fourth Proportional to 150,813, 208,121.94 and 83,745

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Solution

The fourth proportional to 150,813, 208,121.94 and 83,745 is: 115,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,813 : 208,121.94 = 83,745 : x
  2. Step 2: Convert to fraction form
    150,813/208,121.94 = 83,745/x
  3. Step 3: Cross multiply
    150,813x = 208,121.94 × 83,745
  4. Step 4: Simplify right side
    150,813x = 17,429,171,865.30
  5. Step 5: Solve for x
    x = 17,429,171,865.30/150,813
  6. Step 6: Final answer
    x = 115,568.10

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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.