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Finding the Fourth Proportional to 273,540.06, 410,363.19 and 105,048

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Solution

The fourth proportional to 273,540.06, 410,363.19 and 105,048 is: 157,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,540.06 : 410,363.19 = 105,048 : x
  2. Step 2: Convert to fraction form
    273,540.06/410,363.19 = 105,048/x
  3. Step 3: Cross multiply
    273,540.06x = 410,363.19 × 105,048
  4. Step 4: Simplify right side
    273,540.06x = 43,107,832,383.12
  5. Step 5: Solve for x
    x = 43,107,832,383.12/273,540.06
  6. Step 6: Final answer
    x = 157,592.39

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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.