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Finding the Fourth Proportional to 210,661.57, 290,713.99 and 115,168.26

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Solution

The fourth proportional to 210,661.57, 290,713.99 and 115,168.26 is: 158,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661.57 : 290,713.99 = 115,168.26 : x
  2. Step 2: Convert to fraction form
    210,661.57/290,713.99 = 115,168.26/x
  3. Step 3: Cross multiply
    210,661.57x = 290,713.99 × 115,168.26
  4. Step 4: Simplify right side
    210,661.57x = 33,481,023,810.12
  5. Step 5: Solve for x
    x = 33,481,023,810.12/210,661.57
  6. Step 6: Final answer
    x = 158,932.76

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