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Finding the Fourth Proportional to 150,812.53, 208,123.89 and 82,832.37

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Solution

The fourth proportional to 150,812.53, 208,123.89 and 82,832.37 is: 114,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812.53 : 208,123.89 = 82,832.37 : x
  2. Step 2: Convert to fraction form
    150,812.53/208,123.89 = 82,832.37/x
  3. Step 3: Cross multiply
    150,812.53x = 208,123.89 × 82,832.37
  4. Step 4: Simplify right side
    150,812.53x = 17,239,394,803.74
  5. Step 5: Solve for x
    x = 17,239,394,803.74/150,812.53
  6. Step 6: Final answer
    x = 114,310.10

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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.