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Finding the Fourth Proportional to 211,405.36, 291,743.40 and 115,906.36

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Solution

The fourth proportional to 211,405.36, 291,743.40 and 115,906.36 is: 159,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,405.36 : 291,743.40 = 115,906.36 : x
  2. Step 2: Convert to fraction form
    211,405.36/291,743.40 = 115,906.36/x
  3. Step 3: Cross multiply
    211,405.36x = 291,743.40 × 115,906.36
  4. Step 4: Simplify right side
    211,405.36x = 33,814,915,548.02
  5. Step 5: Solve for x
    x = 33,814,915,548.02/211,405.36
  6. Step 6: Final answer
    x = 159,952.97

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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.