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Finding the Fourth Proportional to 256,022.46, 383,914.82 and 149,437.19

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Solution

The fourth proportional to 256,022.46, 383,914.82 and 149,437.19 is: 224,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,022.46 : 383,914.82 = 149,437.19 : x
  2. Step 2: Convert to fraction form
    256,022.46/383,914.82 = 149,437.19/x
  3. Step 3: Cross multiply
    256,022.46x = 383,914.82 × 149,437.19
  4. Step 4: Simplify right side
    256,022.46x = 57,371,153,233.54
  5. Step 5: Solve for x
    x = 57,371,153,233.54/256,022.46
  6. Step 6: Final answer
    x = 224,086.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.