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Finding the Fourth Proportional to 172,804.50, 259,206.75 and 41,476.50

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Solution

The fourth proportional to 172,804.50, 259,206.75 and 41,476.50 is: 62,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.50 : 259,206.75 = 41,476.50 : x
  2. Step 2: Convert to fraction form
    172,804.50/259,206.75 = 41,476.50/x
  3. Step 3: Cross multiply
    172,804.50x = 259,206.75 × 41,476.50
  4. Step 4: Simplify right side
    172,804.50x = 10,750,988,766.38
  5. Step 5: Solve for x
    x = 10,750,988,766.38/172,804.50
  6. Step 6: Final answer
    x = 62,214.75

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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.