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Finding the Fourth Proportional to 172,213.86, 258,320.42 and 47,554.50

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Solution

The fourth proportional to 172,213.86, 258,320.42 and 47,554.50 is: 71,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,213.86 : 258,320.42 = 47,554.50 : x
  2. Step 2: Convert to fraction form
    172,213.86/258,320.42 = 47,554.50/x
  3. Step 3: Cross multiply
    172,213.86x = 258,320.42 × 47,554.50
  4. Step 4: Simplify right side
    172,213.86x = 12,284,298,412.89
  5. Step 5: Solve for x
    x = 12,284,298,412.89/172,213.86
  6. Step 6: Final answer
    x = 71,331.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.