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Finding the Fourth Proportional to 195,764.64, 270,208.56 and 115,218

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Solution

The fourth proportional to 195,764.64, 270,208.56 and 115,218 is: 159,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,764.64 : 270,208.56 = 115,218 : x
  2. Step 2: Convert to fraction form
    195,764.64/270,208.56 = 115,218/x
  3. Step 3: Cross multiply
    195,764.64x = 270,208.56 × 115,218
  4. Step 4: Simplify right side
    195,764.64x = 31,132,889,866.08
  5. Step 5: Solve for x
    x = 31,132,889,866.08/195,764.64
  6. Step 6: Final answer
    x = 159,032.24

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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.