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Finding the Fourth Proportional to 211,405.98, 291,738.03 and 115,912.44

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Solution

The fourth proportional to 211,405.98, 291,738.03 and 115,912.44 is: 159,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,405.98 : 291,738.03 = 115,912.44 : x
  2. Step 2: Convert to fraction form
    211,405.98/291,738.03 = 115,912.44/x
  3. Step 3: Cross multiply
    211,405.98x = 291,738.03 × 115,912.44
  4. Step 4: Simplify right side
    211,405.98x = 33,816,066,898.09
  5. Step 5: Solve for x
    x = 33,816,066,898.09/211,405.98
  6. Step 6: Final answer
    x = 159,957.95

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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.