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Finding the Fourth Proportional to 202,284.70, 303,512.10 and 108,681.10

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Solution

The fourth proportional to 202,284.70, 303,512.10 and 108,681.10 is: 163,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284.70 : 303,512.10 = 108,681.10 : x
  2. Step 2: Convert to fraction form
    202,284.70/303,512.10 = 108,681.10/x
  3. Step 3: Cross multiply
    202,284.70x = 303,512.10 × 108,681.10
  4. Step 4: Simplify right side
    202,284.70x = 32,986,028,891.31
  5. Step 5: Solve for x
    x = 32,986,028,891.31/202,284.70
  6. Step 6: Final answer
    x = 163,067.34

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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.