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Finding the Fourth Proportional to 135,189.90, 202,797 and 35,348.49

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Solution

The fourth proportional to 135,189.90, 202,797 and 35,348.49 is: 53,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189.90 : 202,797 = 35,348.49 : x
  2. Step 2: Convert to fraction form
    135,189.90/202,797 = 35,348.49/x
  3. Step 3: Cross multiply
    135,189.90x = 202,797 × 35,348.49
  4. Step 4: Simplify right side
    135,189.90x = 7,168,567,726.53
  5. Step 5: Solve for x
    x = 7,168,567,726.53/135,189.90
  6. Step 6: Final answer
    x = 53,025.91

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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.