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Finding the Fourth Proportional to 256,883.30, 354,570.27 and 149,474.15

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Solution

The fourth proportional to 256,883.30, 354,570.27 and 149,474.15 is: 206,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,883.30 : 354,570.27 = 149,474.15 : x
  2. Step 2: Convert to fraction form
    256,883.30/354,570.27 = 149,474.15/x
  3. Step 3: Cross multiply
    256,883.30x = 354,570.27 × 149,474.15
  4. Step 4: Simplify right side
    256,883.30x = 52,999,090,049.42
  5. Step 5: Solve for x
    x = 52,999,090,049.42/256,883.30
  6. Step 6: Final answer
    x = 206,315.82

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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.