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Finding the Fourth Proportional to 200,738.28, 301,224.03 and 89,930.28

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Solution

The fourth proportional to 200,738.28, 301,224.03 and 89,930.28 is: 134,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738.28 : 301,224.03 = 89,930.28 : x
  2. Step 2: Convert to fraction form
    200,738.28/301,224.03 = 89,930.28/x
  3. Step 3: Cross multiply
    200,738.28x = 301,224.03 × 89,930.28
  4. Step 4: Simplify right side
    200,738.28x = 27,089,161,360.63
  5. Step 5: Solve for x
    x = 27,089,161,360.63/200,738.28
  6. Step 6: Final answer
    x = 134,947.66

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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.