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Finding the Fourth Proportional to 202,208.96, 303,314.70 and 89,862.80

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Solution

The fourth proportional to 202,208.96, 303,314.70 and 89,862.80 is: 134,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.96 : 303,314.70 = 89,862.80 : x
  2. Step 2: Convert to fraction form
    202,208.96/303,314.70 = 89,862.80/x
  3. Step 3: Cross multiply
    202,208.96x = 303,314.70 × 89,862.80
  4. Step 4: Simplify right side
    202,208.96x = 27,256,708,223.16
  5. Step 5: Solve for x
    x = 27,256,708,223.16/202,208.96
  6. Step 6: Final answer
    x = 134,794.76

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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.