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Finding the Fourth Proportional to 210,837.88, 290,963.16 and 115,344.58

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Solution

The fourth proportional to 210,837.88, 290,963.16 and 115,344.58 is: 159,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,837.88 : 290,963.16 = 115,344.58 : x
  2. Step 2: Convert to fraction form
    210,837.88/290,963.16 = 115,344.58/x
  3. Step 3: Cross multiply
    210,837.88x = 290,963.16 × 115,344.58
  4. Step 4: Simplify right side
    210,837.88x = 33,561,023,485.67
  5. Step 5: Solve for x
    x = 33,561,023,485.67/210,837.88
  6. Step 6: Final answer
    x = 159,179.29

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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.