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Finding the Fourth Proportional to 150,178.98, 207,238.56 and 82,195.82

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Solution

The fourth proportional to 150,178.98, 207,238.56 and 82,195.82 is: 113,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,178.98 : 207,238.56 = 82,195.82 : x
  2. Step 2: Convert to fraction form
    150,178.98/207,238.56 = 82,195.82/x
  3. Step 3: Cross multiply
    150,178.98x = 207,238.56 × 82,195.82
  4. Step 4: Simplify right side
    150,178.98x = 17,034,143,374.82
  5. Step 5: Solve for x
    x = 17,034,143,374.82/150,178.98
  6. Step 6: Final answer
    x = 113,425.62

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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.