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Finding the Fourth Proportional to 201,401.80, 302,102.70 and 135,046.60

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Solution

The fourth proportional to 201,401.80, 302,102.70 and 135,046.60 is: 202,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,401.80 : 302,102.70 = 135,046.60 : x
  2. Step 2: Convert to fraction form
    201,401.80/302,102.70 = 135,046.60/x
  3. Step 3: Cross multiply
    201,401.80x = 302,102.70 × 135,046.60
  4. Step 4: Simplify right side
    201,401.80x = 40,797,942,485.82
  5. Step 5: Solve for x
    x = 40,797,942,485.82/201,401.80
  6. Step 6: Final answer
    x = 202,569.90

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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.