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Finding the Fourth Proportional to 172,840.50, 259,304.49 and 48,181.50

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Solution

The fourth proportional to 172,840.50, 259,304.49 and 48,181.50 is: 72,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,840.50 : 259,304.49 = 48,181.50 : x
  2. Step 2: Convert to fraction form
    172,840.50/259,304.49 = 48,181.50/x
  3. Step 3: Cross multiply
    172,840.50x = 259,304.49 × 48,181.50
  4. Step 4: Simplify right side
    172,840.50x = 12,493,679,284.94
  5. Step 5: Solve for x
    x = 12,493,679,284.94/172,840.50
  6. Step 6: Final answer
    x = 72,284.44

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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.