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Finding the Fourth Proportional to 533,129.14, 799,735.02 and 178,144.39

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Solution

The fourth proportional to 533,129.14, 799,735.02 and 178,144.39 is: 267,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,129.14 : 799,735.02 = 178,144.39 : x
  2. Step 2: Convert to fraction form
    533,129.14/799,735.02 = 178,144.39/x
  3. Step 3: Cross multiply
    533,129.14x = 799,735.02 × 178,144.39
  4. Step 4: Simplify right side
    533,129.14x = 142,468,307,299.54
  5. Step 5: Solve for x
    x = 142,468,307,299.54/533,129.14
  6. Step 6: Final answer
    x = 267,230.39

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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.