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Finding the Fourth Proportional to 225,469.34, 310,997.97 and 144,998.67

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Solution

The fourth proportional to 225,469.34, 310,997.97 and 144,998.67 is: 200,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,469.34 : 310,997.97 = 144,998.67 : x
  2. Step 2: Convert to fraction form
    225,469.34/310,997.97 = 144,998.67/x
  3. Step 3: Cross multiply
    225,469.34x = 310,997.97 × 144,998.67
  4. Step 4: Simplify right side
    225,469.34x = 45,094,292,022.70
  5. Step 5: Solve for x
    x = 45,094,292,022.70/225,469.34
  6. Step 6: Final answer
    x = 200,001.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.