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Finding the Fourth Proportional to 200,348.48, 300,532.44 and 165,224

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Solution

The fourth proportional to 200,348.48, 300,532.44 and 165,224 is: 247,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348.48 : 300,532.44 = 165,224 : x
  2. Step 2: Convert to fraction form
    200,348.48/300,532.44 = 165,224/x
  3. Step 3: Cross multiply
    200,348.48x = 300,532.44 × 165,224
  4. Step 4: Simplify right side
    200,348.48x = 49,655,171,866.56
  5. Step 5: Solve for x
    x = 49,655,171,866.56/200,348.48
  6. Step 6: Final answer
    x = 247,844.02

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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.