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Finding the Fourth Proportional to 363,120.90, 501,099.64 and 201,972.48

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Solution

The fourth proportional to 363,120.90, 501,099.64 and 201,972.48 is: 278,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,120.90 : 501,099.64 = 201,972.48 : x
  2. Step 2: Convert to fraction form
    363,120.90/501,099.64 = 201,972.48/x
  3. Step 3: Cross multiply
    363,120.90x = 501,099.64 × 201,972.48
  4. Step 4: Simplify right side
    363,120.90x = 101,208,337,017.91
  5. Step 5: Solve for x
    x = 101,208,337,017.91/363,120.90
  6. Step 6: Final answer
    x = 278,718.02

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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.