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Finding the Fourth Proportional to 201,855.15, 302,418.23 and 117,546.30

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Solution

The fourth proportional to 201,855.15, 302,418.23 and 117,546.30 is: 176,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.15 : 302,418.23 = 117,546.30 : x
  2. Step 2: Convert to fraction form
    201,855.15/302,418.23 = 117,546.30/x
  3. Step 3: Cross multiply
    201,855.15x = 302,418.23 × 117,546.30
  4. Step 4: Simplify right side
    201,855.15x = 35,548,143,401.32
  5. Step 5: Solve for x
    x = 35,548,143,401.32/201,855.15
  6. Step 6: Final answer
    x = 176,107.19

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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.