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Finding the Fourth Proportional to 150,171, 207,242.52 and 83,103

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Solution

The fourth proportional to 150,171, 207,242.52 and 83,103 is: 114,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,171 : 207,242.52 = 83,103 : x
  2. Step 2: Convert to fraction form
    150,171/207,242.52 = 83,103/x
  3. Step 3: Cross multiply
    150,171x = 207,242.52 × 83,103
  4. Step 4: Simplify right side
    150,171x = 17,222,475,139.56
  5. Step 5: Solve for x
    x = 17,222,475,139.56/150,171
  6. Step 6: Final answer
    x = 114,685.76

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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.