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Finding the Fourth Proportional to 256,923.54, 354,524.90 and 148,043.75

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Solution

The fourth proportional to 256,923.54, 354,524.90 and 148,043.75 is: 204,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,923.54 : 354,524.90 = 148,043.75 : x
  2. Step 2: Convert to fraction form
    256,923.54/354,524.90 = 148,043.75/x
  3. Step 3: Cross multiply
    256,923.54x = 354,524.90 × 148,043.75
  4. Step 4: Simplify right side
    256,923.54x = 52,485,193,151.53
  5. Step 5: Solve for x
    x = 52,485,193,151.53/256,923.54
  6. Step 6: Final answer
    x = 204,283.32

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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.