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Finding the Fourth Proportional to 210,672.78, 290,728.32 and 115,179.42

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Solution

The fourth proportional to 210,672.78, 290,728.32 and 115,179.42 is: 158,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,672.78 : 290,728.32 = 115,179.42 : x
  2. Step 2: Convert to fraction form
    210,672.78/290,728.32 = 115,179.42/x
  3. Step 3: Cross multiply
    210,672.78x = 290,728.32 × 115,179.42
  4. Step 4: Simplify right side
    210,672.78x = 33,485,919,275.17
  5. Step 5: Solve for x
    x = 33,485,919,275.17/210,672.78
  6. Step 6: Final answer
    x = 158,947.54

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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.