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Finding the Fourth Proportional to 363,120.40, 501,098.95 and 201,971.98

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Solution

The fourth proportional to 363,120.40, 501,098.95 and 201,971.98 is: 278,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,120.40 : 501,098.95 = 201,971.98 : x
  2. Step 2: Convert to fraction form
    363,120.40/501,098.95 = 201,971.98/x
  3. Step 3: Cross multiply
    363,120.40x = 501,098.95 × 201,971.98
  4. Step 4: Simplify right side
    363,120.40x = 101,207,947,107.42
  5. Step 5: Solve for x
    x = 101,207,947,107.42/363,120.40
  6. Step 6: Final answer
    x = 278,717.33

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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.