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Finding the Fourth Proportional to 256,774.70, 354,338.43 and 149,344.94

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Solution

The fourth proportional to 256,774.70, 354,338.43 and 149,344.94 is: 206,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774.70 : 354,338.43 = 149,344.94 : x
  2. Step 2: Convert to fraction form
    256,774.70/354,338.43 = 149,344.94/x
  3. Step 3: Cross multiply
    256,774.70x = 354,338.43 × 149,344.94
  4. Step 4: Simplify right side
    256,774.70x = 52,918,651,568.04
  5. Step 5: Solve for x
    x = 52,918,651,568.04/256,774.70
  6. Step 6: Final answer
    x = 206,089.82

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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.