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Finding the Fourth Proportional to 174,723, 262,084.50 and 50,064

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Solution

The fourth proportional to 174,723, 262,084.50 and 50,064 is: 75,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,723 : 262,084.50 = 50,064 : x
  2. Step 2: Convert to fraction form
    174,723/262,084.50 = 50,064/x
  3. Step 3: Cross multiply
    174,723x = 262,084.50 × 50,064
  4. Step 4: Simplify right side
    174,723x = 13,120,998,408
  5. Step 5: Solve for x
    x = 13,120,998,408/174,723
  6. Step 6: Final answer
    x = 75,096

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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.