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Finding the Fourth Proportional to 202,013.64, 302,954.52 and 67,041.46

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Solution

The fourth proportional to 202,013.64, 302,954.52 and 67,041.46 is: 100,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,013.64 : 302,954.52 = 67,041.46 : x
  2. Step 2: Convert to fraction form
    202,013.64/302,954.52 = 67,041.46/x
  3. Step 3: Cross multiply
    202,013.64x = 302,954.52 × 67,041.46
  4. Step 4: Simplify right side
    202,013.64x = 20,310,511,883.27
  5. Step 5: Solve for x
    x = 20,310,511,883.27/202,013.64
  6. Step 6: Final answer
    x = 100,540.30

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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.