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Finding the Fourth Proportional to 202,139.58, 303,274.98 and 96,966.78

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Solution

The fourth proportional to 202,139.58, 303,274.98 and 96,966.78 is: 145,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.58 : 303,274.98 = 96,966.78 : x
  2. Step 2: Convert to fraction form
    202,139.58/303,274.98 = 96,966.78/x
  3. Step 3: Cross multiply
    202,139.58x = 303,274.98 × 96,966.78
  4. Step 4: Simplify right side
    202,139.58x = 29,407,598,265.16
  5. Step 5: Solve for x
    x = 29,407,598,265.16/202,139.58
  6. Step 6: Final answer
    x = 145,481.64

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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.