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Finding the Fourth Proportional to 256,796.33, 385,276.65 and 107,052.44

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Solution

The fourth proportional to 256,796.33, 385,276.65 and 107,052.44 is: 160,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,796.33 : 385,276.65 = 107,052.44 : x
  2. Step 2: Convert to fraction form
    256,796.33/385,276.65 = 107,052.44/x
  3. Step 3: Cross multiply
    256,796.33x = 385,276.65 × 107,052.44
  4. Step 4: Simplify right side
    256,796.33x = 41,244,803,731.87
  5. Step 5: Solve for x
    x = 41,244,803,731.87/256,796.33
  6. Step 6: Final answer
    x = 160,612.90

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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.