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Finding the Fourth Proportional to 256,881.40, 385,322.64 and 138,608.44

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Solution

The fourth proportional to 256,881.40, 385,322.64 and 138,608.44 is: 207,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,881.40 : 385,322.64 = 138,608.44 : x
  2. Step 2: Convert to fraction form
    256,881.40/385,322.64 = 138,608.44/x
  3. Step 3: Cross multiply
    256,881.40x = 385,322.64 × 138,608.44
  4. Step 4: Simplify right side
    256,881.40x = 53,408,970,027.08
  5. Step 5: Solve for x
    x = 53,408,970,027.08/256,881.40
  6. Step 6: Final answer
    x = 207,912.95

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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.