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Finding the Fourth Proportional to 202,354.64, 303,610.80 and 83,996

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Solution

The fourth proportional to 202,354.64, 303,610.80 and 83,996 is: 126,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,354.64 : 303,610.80 = 83,996 : x
  2. Step 2: Convert to fraction form
    202,354.64/303,610.80 = 83,996/x
  3. Step 3: Cross multiply
    202,354.64x = 303,610.80 × 83,996
  4. Step 4: Simplify right side
    202,354.64x = 25,502,092,756.80
  5. Step 5: Solve for x
    x = 25,502,092,756.80/202,354.64
  6. Step 6: Final answer
    x = 126,026.73

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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.