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Finding the Fourth Proportional to 201,864.20, 302,213.10 and 123,132.20

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Solution

The fourth proportional to 201,864.20, 302,213.10 and 123,132.20 is: 184,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864.20 : 302,213.10 = 123,132.20 : x
  2. Step 2: Convert to fraction form
    201,864.20/302,213.10 = 123,132.20/x
  3. Step 3: Cross multiply
    201,864.20x = 302,213.10 × 123,132.20
  4. Step 4: Simplify right side
    201,864.20x = 37,212,163,871.82
  5. Step 5: Solve for x
    x = 37,212,163,871.82/201,864.20
  6. Step 6: Final answer
    x = 184,342.56

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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.