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Finding the Fourth Proportional to 172,214.86, 258,321.93 and 47,555.50

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Solution

The fourth proportional to 172,214.86, 258,321.93 and 47,555.50 is: 71,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214.86 : 258,321.93 = 47,555.50 : x
  2. Step 2: Convert to fraction form
    172,214.86/258,321.93 = 47,555.50/x
  3. Step 3: Cross multiply
    172,214.86x = 258,321.93 × 47,555.50
  4. Step 4: Simplify right side
    172,214.86x = 12,284,628,542.12
  5. Step 5: Solve for x
    x = 12,284,628,542.12/172,214.86
  6. Step 6: Final answer
    x = 71,333.15

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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.