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Finding the Fourth Proportional to 202,297.40, 303,774.15 and 136,031.30

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Solution

The fourth proportional to 202,297.40, 303,774.15 and 136,031.30 is: 204,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.40 : 303,774.15 = 136,031.30 : x
  2. Step 2: Convert to fraction form
    202,297.40/303,774.15 = 136,031.30/x
  3. Step 3: Cross multiply
    202,297.40x = 303,774.15 × 136,031.30
  4. Step 4: Simplify right side
    202,297.40x = 41,322,792,530.90
  5. Step 5: Solve for x
    x = 41,322,792,530.90/202,297.40
  6. Step 6: Final answer
    x = 204,267.54

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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.