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Finding the Fourth Proportional to 210,791.39, 290,888.70 and 115,297.25

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Solution

The fourth proportional to 210,791.39, 290,888.70 and 115,297.25 is: 159,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.39 : 290,888.70 = 115,297.25 : x
  2. Step 2: Convert to fraction form
    210,791.39/290,888.70 = 115,297.25/x
  3. Step 3: Cross multiply
    210,791.39x = 290,888.70 × 115,297.25
  4. Step 4: Simplify right side
    210,791.39x = 33,538,667,166.08
  5. Step 5: Solve for x
    x = 33,538,667,166.08/210,791.39
  6. Step 6: Final answer
    x = 159,108.34

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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.