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Finding the Fourth Proportional to 202,781.70, 279,844.74 and 110,906.44

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Solution

The fourth proportional to 202,781.70, 279,844.74 and 110,906.44 is: 153,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,781.70 : 279,844.74 = 110,906.44 : x
  2. Step 2: Convert to fraction form
    202,781.70/279,844.74 = 110,906.44/x
  3. Step 3: Cross multiply
    202,781.70x = 279,844.74 × 110,906.44
  4. Step 4: Simplify right side
    202,781.70x = 31,036,583,166.51
  5. Step 5: Solve for x
    x = 31,036,583,166.51/202,781.70
  6. Step 6: Final answer
    x = 153,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.