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Finding the Fourth Proportional to 256,022.09, 383,914.26 and 149,436.82

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Solution

The fourth proportional to 256,022.09, 383,914.26 and 149,436.82 is: 224,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,022.09 : 383,914.26 = 149,436.82 : x
  2. Step 2: Convert to fraction form
    256,022.09/383,914.26 = 149,436.82/x
  3. Step 3: Cross multiply
    256,022.09x = 383,914.26 × 149,436.82
  4. Step 4: Simplify right side
    256,022.09x = 57,370,925,207.27
  5. Step 5: Solve for x
    x = 57,370,925,207.27/256,022.09
  6. Step 6: Final answer
    x = 224,085.84

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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.