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Finding the Fourth Proportional to 273,081.36, 409,807.80 and 167,578.32

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Solution

The fourth proportional to 273,081.36, 409,807.80 and 167,578.32 is: 251,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,081.36 : 409,807.80 = 167,578.32 : x
  2. Step 2: Convert to fraction form
    273,081.36/409,807.80 = 167,578.32/x
  3. Step 3: Cross multiply
    273,081.36x = 409,807.80 × 167,578.32
  4. Step 4: Simplify right side
    273,081.36x = 68,674,902,646.90
  5. Step 5: Solve for x
    x = 68,674,902,646.90/273,081.36
  6. Step 6: Final answer
    x = 251,481.47

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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.