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Finding the Fourth Proportional to 256,773.70, 354,337.05 and 149,343.94

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Solution

The fourth proportional to 256,773.70, 354,337.05 and 149,343.94 is: 206,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.70 : 354,337.05 = 149,343.94 : x
  2. Step 2: Convert to fraction form
    256,773.70/354,337.05 = 149,343.94/x
  3. Step 3: Cross multiply
    256,773.70x = 354,337.05 × 149,343.94
  4. Step 4: Simplify right side
    256,773.70x = 52,918,091,134.98
  5. Step 5: Solve for x
    x = 52,918,091,134.98/256,773.70
  6. Step 6: Final answer
    x = 206,088.44

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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.