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Finding the Fourth Proportional to 201,120.30, 301,680.45 and 134,198.10

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Solution

The fourth proportional to 201,120.30, 301,680.45 and 134,198.10 is: 201,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,120.30 : 301,680.45 = 134,198.10 : x
  2. Step 2: Convert to fraction form
    201,120.30/301,680.45 = 134,198.10/x
  3. Step 3: Cross multiply
    201,120.30x = 301,680.45 × 134,198.10
  4. Step 4: Simplify right side
    201,120.30x = 40,484,943,197.15
  5. Step 5: Solve for x
    x = 40,484,943,197.15/201,120.30
  6. Step 6: Final answer
    x = 201,297.15

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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.