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Finding the Fourth Proportional to 172,886, 259,431.06 and 73,039.73

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Solution

The fourth proportional to 172,886, 259,431.06 and 73,039.73 is: 109,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,886 : 259,431.06 = 73,039.73 : x
  2. Step 2: Convert to fraction form
    172,886/259,431.06 = 73,039.73/x
  3. Step 3: Cross multiply
    172,886x = 259,431.06 × 73,039.73
  4. Step 4: Simplify right side
    172,886x = 18,948,774,576.01
  5. Step 5: Solve for x
    x = 18,948,774,576.01/172,886
  6. Step 6: Final answer
    x = 109,602.71

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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.