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Finding the Fourth Proportional to 201,898.20, 302,264.10 and 123,166.20

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Solution

The fourth proportional to 201,898.20, 302,264.10 and 123,166.20 is: 184,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.20 : 302,264.10 = 123,166.20 : x
  2. Step 2: Convert to fraction form
    201,898.20/302,264.10 = 123,166.20/x
  3. Step 3: Cross multiply
    201,898.20x = 302,264.10 × 123,166.20
  4. Step 4: Simplify right side
    201,898.20x = 37,228,720,593.42
  5. Step 5: Solve for x
    x = 37,228,720,593.42/201,898.20
  6. Step 6: Final answer
    x = 184,393.52

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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.