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Finding the Fourth Proportional to 363,137.50, 501,129.76 and 204,161.50

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Solution

The fourth proportional to 363,137.50, 501,129.76 and 204,161.50 is: 281,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,137.50 : 501,129.76 = 204,161.50 : x
  2. Step 2: Convert to fraction form
    363,137.50/501,129.76 = 204,161.50/x
  3. Step 3: Cross multiply
    363,137.50x = 501,129.76 × 204,161.50
  4. Step 4: Simplify right side
    363,137.50x = 102,311,403,496.24
  5. Step 5: Solve for x
    x = 102,311,403,496.24/363,137.50
  6. Step 6: Final answer
    x = 281,742.88

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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.