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Finding the Fourth Proportional to 172,806.75, 259,210.13 and 41,478.75

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Solution

The fourth proportional to 172,806.75, 259,210.13 and 41,478.75 is: 62,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806.75 : 259,210.13 = 41,478.75 : x
  2. Step 2: Convert to fraction form
    172,806.75/259,210.13 = 41,478.75/x
  3. Step 3: Cross multiply
    172,806.75x = 259,210.13 × 41,478.75
  4. Step 4: Simplify right side
    172,806.75x = 10,751,712,179.74
  5. Step 5: Solve for x
    x = 10,751,712,179.74/172,806.75
  6. Step 6: Final answer
    x = 62,218.13

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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.