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Finding the Fourth Proportional to 201,920.20, 302,297.10 and 123,188.20

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Solution

The fourth proportional to 201,920.20, 302,297.10 and 123,188.20 is: 184,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.20 : 302,297.10 = 123,188.20 : x
  2. Step 2: Convert to fraction form
    201,920.20/302,297.10 = 123,188.20/x
  3. Step 3: Cross multiply
    201,920.20x = 302,297.10 × 123,188.20
  4. Step 4: Simplify right side
    201,920.20x = 37,239,435,614.22
  5. Step 5: Solve for x
    x = 37,239,435,614.22/201,920.20
  6. Step 6: Final answer
    x = 184,426.50

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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.