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Finding the Fourth Proportional to 256,490.64, 353,958.12 and 149,123.52

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Solution

The fourth proportional to 256,490.64, 353,958.12 and 149,123.52 is: 205,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.64 : 353,958.12 = 149,123.52 : x
  2. Step 2: Convert to fraction form
    256,490.64/353,958.12 = 149,123.52/x
  3. Step 3: Cross multiply
    256,490.64x = 353,958.12 × 149,123.52
  4. Step 4: Simplify right side
    256,490.64x = 52,783,480,786.98
  5. Step 5: Solve for x
    x = 52,783,480,786.98/256,490.64
  6. Step 6: Final answer
    x = 205,791.06

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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.