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Finding the Fourth Proportional to 202,053.36, 303,069.06 and 61,812

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Solution

The fourth proportional to 202,053.36, 303,069.06 and 61,812 is: 92,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053.36 : 303,069.06 = 61,812 : x
  2. Step 2: Convert to fraction form
    202,053.36/303,069.06 = 61,812/x
  3. Step 3: Cross multiply
    202,053.36x = 303,069.06 × 61,812
  4. Step 4: Simplify right side
    202,053.36x = 18,733,304,736.72
  5. Step 5: Solve for x
    x = 18,733,304,736.72/202,053.36
  6. Step 6: Final answer
    x = 92,714.64

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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.