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Finding the Fourth Proportional to 256,610.72, 354,123.24 and 143,433.38

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Solution

The fourth proportional to 256,610.72, 354,123.24 and 143,433.38 is: 197,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,610.72 : 354,123.24 = 143,433.38 : x
  2. Step 2: Convert to fraction form
    256,610.72/354,123.24 = 143,433.38/x
  3. Step 3: Cross multiply
    256,610.72x = 354,123.24 × 143,433.38
  4. Step 4: Simplify right side
    256,610.72x = 50,793,093,249.75
  5. Step 5: Solve for x
    x = 50,793,093,249.75/256,610.72
  6. Step 6: Final answer
    x = 197,938.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.