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Finding the Fourth Proportional to 234,871.31, 324,206.46 and 139,378

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Solution

The fourth proportional to 234,871.31, 324,206.46 and 139,378 is: 192,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,871.31 : 324,206.46 = 139,378 : x
  2. Step 2: Convert to fraction form
    234,871.31/324,206.46 = 139,378/x
  3. Step 3: Cross multiply
    234,871.31x = 324,206.46 × 139,378
  4. Step 4: Simplify right side
    234,871.31x = 45,187,247,981.88
  5. Step 5: Solve for x
    x = 45,187,247,981.88/234,871.31
  6. Step 6: Final answer
    x = 192,391.52

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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.