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Finding the Fourth Proportional to 256,933.27, 385,402.47 and 114,785.56

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Solution

The fourth proportional to 256,933.27, 385,402.47 and 114,785.56 is: 172,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,933.27 : 385,402.47 = 114,785.56 : x
  2. Step 2: Convert to fraction form
    256,933.27/385,402.47 = 114,785.56/x
  3. Step 3: Cross multiply
    256,933.27x = 385,402.47 × 114,785.56
  4. Step 4: Simplify right side
    256,933.27x = 44,238,638,344.33
  5. Step 5: Solve for x
    x = 44,238,638,344.33/256,933.27
  6. Step 6: Final answer
    x = 172,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.