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Finding the Fourth Proportional to 201,748.70, 302,960.43 and 126,023.48

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Solution

The fourth proportional to 201,748.70, 302,960.43 and 126,023.48 is: 189,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.70 : 302,960.43 = 126,023.48 : x
  2. Step 2: Convert to fraction form
    201,748.70/302,960.43 = 126,023.48/x
  3. Step 3: Cross multiply
    201,748.70x = 302,960.43 × 126,023.48
  4. Step 4: Simplify right side
    201,748.70x = 38,180,127,690.90
  5. Step 5: Solve for x
    x = 38,180,127,690.90/201,748.70
  6. Step 6: Final answer
    x = 189,245.97

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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.