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Finding the Fourth Proportional to 172,653, 259,096.95 and 61,845

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Solution

The fourth proportional to 172,653, 259,096.95 and 61,845 is: 92,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,653 : 259,096.95 = 61,845 : x
  2. Step 2: Convert to fraction form
    172,653/259,096.95 = 61,845/x
  3. Step 3: Cross multiply
    172,653x = 259,096.95 × 61,845
  4. Step 4: Simplify right side
    172,653x = 16,023,850,872.75
  5. Step 5: Solve for x
    x = 16,023,850,872.75/172,653
  6. Step 6: Final answer
    x = 92,809.57

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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.