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Finding the Fourth Proportional to 207,817.51, 311,843.05 and 113,054.33

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Solution

The fourth proportional to 207,817.51, 311,843.05 and 113,054.33 is: 169,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,817.51 : 311,843.05 = 113,054.33 : x
  2. Step 2: Convert to fraction form
    207,817.51/311,843.05 = 113,054.33/x
  3. Step 3: Cross multiply
    207,817.51x = 311,843.05 × 113,054.33
  4. Step 4: Simplify right side
    207,817.51x = 35,255,205,241.06
  5. Step 5: Solve for x
    x = 35,255,205,241.06/207,817.51
  6. Step 6: Final answer
    x = 169,645.02

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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.