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Finding the Fourth Proportional to 202,103.68, 303,063.36 and 96,972.16

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Solution

The fourth proportional to 202,103.68, 303,063.36 and 96,972.16 is: 145,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103.68 : 303,063.36 = 96,972.16 : x
  2. Step 2: Convert to fraction form
    202,103.68/303,063.36 = 96,972.16/x
  3. Step 3: Cross multiply
    202,103.68x = 303,063.36 × 96,972.16
  4. Step 4: Simplify right side
    202,103.68x = 29,388,708,636.06
  5. Step 5: Solve for x
    x = 29,388,708,636.06/202,103.68
  6. Step 6: Final answer
    x = 145,414.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.