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Finding the Fourth Proportional to 172,805.50, 259,208.25 and 41,477.50

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Solution

The fourth proportional to 172,805.50, 259,208.25 and 41,477.50 is: 62,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,805.50 : 259,208.25 = 41,477.50 : x
  2. Step 2: Convert to fraction form
    172,805.50/259,208.25 = 41,477.50/x
  3. Step 3: Cross multiply
    172,805.50x = 259,208.25 × 41,477.50
  4. Step 4: Simplify right side
    172,805.50x = 10,751,310,189.38
  5. Step 5: Solve for x
    x = 10,751,310,189.38/172,805.50
  6. Step 6: Final answer
    x = 62,216.25

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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.