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Finding the Fourth Proportional to 172,873, 259,353.26 and 48,214

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Solution

The fourth proportional to 172,873, 259,353.26 and 48,214 is: 72,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,873 : 259,353.26 = 48,214 : x
  2. Step 2: Convert to fraction form
    172,873/259,353.26 = 48,214/x
  3. Step 3: Cross multiply
    172,873x = 259,353.26 × 48,214
  4. Step 4: Simplify right side
    172,873x = 12,504,458,077.64
  5. Step 5: Solve for x
    x = 12,504,458,077.64/172,873
  6. Step 6: Final answer
    x = 72,333.20

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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.