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Finding the Fourth Proportional to 363,135.50, 501,127 and 204,159.50

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Solution

The fourth proportional to 363,135.50, 501,127 and 204,159.50 is: 281,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,135.50 : 501,127 = 204,159.50 : x
  2. Step 2: Convert to fraction form
    363,135.50/501,127 = 204,159.50/x
  3. Step 3: Cross multiply
    363,135.50x = 501,127 × 204,159.50
  4. Step 4: Simplify right side
    363,135.50x = 102,309,837,756.50
  5. Step 5: Solve for x
    x = 102,309,837,756.50/363,135.50
  6. Step 6: Final answer
    x = 281,740.12

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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.