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Finding the Fourth Proportional to 533,122.54, 799,725.12 and 178,137.80

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Solution

The fourth proportional to 533,122.54, 799,725.12 and 178,137.80 is: 267,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,122.54 : 799,725.12 = 178,137.80 : x
  2. Step 2: Convert to fraction form
    533,122.54/799,725.12 = 178,137.80/x
  3. Step 3: Cross multiply
    533,122.54x = 799,725.12 × 178,137.80
  4. Step 4: Simplify right side
    533,122.54x = 142,461,273,481.54
  5. Step 5: Solve for x
    x = 142,461,273,481.54/533,122.54
  6. Step 6: Final answer
    x = 267,220.50

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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.