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Finding the Fourth Proportional to 172,485.50, 258,739.19 and 54,161.51

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Solution

The fourth proportional to 172,485.50, 258,739.19 and 54,161.51 is: 81,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,485.50 : 258,739.19 = 54,161.51 : x
  2. Step 2: Convert to fraction form
    172,485.50/258,739.19 = 54,161.51/x
  3. Step 3: Cross multiply
    172,485.50x = 258,739.19 × 54,161.51
  4. Step 4: Simplify right side
    172,485.50x = 14,013,705,625.25
  5. Step 5: Solve for x
    x = 14,013,705,625.25/172,485.50
  6. Step 6: Final answer
    x = 81,245.70

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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.