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Finding the Fourth Proportional to 172,804, 259,206 and 41,476

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Solution

The fourth proportional to 172,804, 259,206 and 41,476 is: 62,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804 : 259,206 = 41,476 : x
  2. Step 2: Convert to fraction form
    172,804/259,206 = 41,476/x
  3. Step 3: Cross multiply
    172,804x = 259,206 × 41,476
  4. Step 4: Simplify right side
    172,804x = 10,750,828,056
  5. Step 5: Solve for x
    x = 10,750,828,056/172,804
  6. Step 6: Final answer
    x = 62,214

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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.