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Finding the Fourth Proportional to 201,814.20, 302,138.10 and 123,082.20

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Solution

The fourth proportional to 201,814.20, 302,138.10 and 123,082.20 is: 184,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.20 : 302,138.10 = 123,082.20 : x
  2. Step 2: Convert to fraction form
    201,814.20/302,138.10 = 123,082.20/x
  3. Step 3: Cross multiply
    201,814.20x = 302,138.10 × 123,082.20
  4. Step 4: Simplify right side
    201,814.20x = 37,187,822,051.82
  5. Step 5: Solve for x
    x = 37,187,822,051.82/201,814.20
  6. Step 6: Final answer
    x = 184,267.62

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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.