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Finding the Fourth Proportional to 202,213.71, 303,321.78 and 89,867.52

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Solution

The fourth proportional to 202,213.71, 303,321.78 and 89,867.52 is: 134,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213.71 : 303,321.78 = 89,867.52 : x
  2. Step 2: Convert to fraction form
    202,213.71/303,321.78 = 89,867.52/x
  3. Step 3: Cross multiply
    202,213.71x = 303,321.78 × 89,867.52
  4. Step 4: Simplify right side
    202,213.71x = 27,258,776,130.59
  5. Step 5: Solve for x
    x = 27,258,776,130.59/202,213.71
  6. Step 6: Final answer
    x = 134,801.82

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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.