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Finding the Fourth Proportional to 268,403.68, 402,273.14 and 135,211.28

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Solution

The fourth proportional to 268,403.68, 402,273.14 and 135,211.28 is: 202,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,403.68 : 402,273.14 = 135,211.28 : x
  2. Step 2: Convert to fraction form
    268,403.68/402,273.14 = 135,211.28/x
  3. Step 3: Cross multiply
    268,403.68x = 402,273.14 × 135,211.28
  4. Step 4: Simplify right side
    268,403.68x = 54,391,863,481.60
  5. Step 5: Solve for x
    x = 54,391,863,481.60/268,403.68
  6. Step 6: Final answer
    x = 202,649.47

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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.