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Finding the Fourth Proportional to 135,493.80, 202,851.90 and 83,005.80

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Solution

The fourth proportional to 135,493.80, 202,851.90 and 83,005.80 is: 124,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,493.80 : 202,851.90 = 83,005.80 : x
  2. Step 2: Convert to fraction form
    135,493.80/202,851.90 = 83,005.80/x
  3. Step 3: Cross multiply
    135,493.80x = 202,851.90 × 83,005.80
  4. Step 4: Simplify right side
    135,493.80x = 16,837,884,241.02
  5. Step 5: Solve for x
    x = 16,837,884,241.02/135,493.80
  6. Step 6: Final answer
    x = 124,270.51

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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.