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Finding the Fourth Proportional to 172,193.82, 258,305.61 and 47,534.82

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Solution

The fourth proportional to 172,193.82, 258,305.61 and 47,534.82 is: 71,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,193.82 : 258,305.61 = 47,534.82 : x
  2. Step 2: Convert to fraction form
    172,193.82/258,305.61 = 47,534.82/x
  3. Step 3: Cross multiply
    172,193.82x = 258,305.61 × 47,534.82
  4. Step 4: Simplify right side
    172,193.82x = 12,278,510,676.34
  5. Step 5: Solve for x
    x = 12,278,510,676.34/172,193.82
  6. Step 6: Final answer
    x = 71,306.34

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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.