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Finding the Fourth Proportional to 202,983.87, 304,275 and 96,180.21

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Solution

The fourth proportional to 202,983.87, 304,275 and 96,180.21 is: 144,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.87 : 304,275 = 96,180.21 : x
  2. Step 2: Convert to fraction form
    202,983.87/304,275 = 96,180.21/x
  3. Step 3: Cross multiply
    202,983.87x = 304,275 × 96,180.21
  4. Step 4: Simplify right side
    202,983.87x = 29,265,233,397.75
  5. Step 5: Solve for x
    x = 29,265,233,397.75/202,983.87
  6. Step 6: Final answer
    x = 144,175.17

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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.