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Finding the Fourth Proportional to 256,800.48, 385,365.42 and 138,553.98

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Solution

The fourth proportional to 256,800.48, 385,365.42 and 138,553.98 is: 207,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,800.48 : 385,365.42 = 138,553.98 : x
  2. Step 2: Convert to fraction form
    256,800.48/385,365.42 = 138,553.98/x
  3. Step 3: Cross multiply
    256,800.48x = 385,365.42 × 138,553.98
  4. Step 4: Simplify right side
    256,800.48x = 53,393,912,695.37
  5. Step 5: Solve for x
    x = 53,393,912,695.37/256,800.48
  6. Step 6: Final answer
    x = 207,919.83

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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.