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Finding the Fourth Proportional to 150,230.64, 207,318.35 and 82,252.02

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Solution

The fourth proportional to 150,230.64, 207,318.35 and 82,252.02 is: 113,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,230.64 : 207,318.35 = 82,252.02 : x
  2. Step 2: Convert to fraction form
    150,230.64/207,318.35 = 82,252.02/x
  3. Step 3: Cross multiply
    150,230.64x = 207,318.35 × 82,252.02
  4. Step 4: Simplify right side
    150,230.64x = 17,052,352,659.31
  5. Step 5: Solve for x
    x = 17,052,352,659.31/150,230.64
  6. Step 6: Final answer
    x = 113,507.82

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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.