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Finding the Fourth Proportional to 211,194.81, 291,447.18 and 114,396.57

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Solution

The fourth proportional to 211,194.81, 291,447.18 and 114,396.57 is: 157,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194.81 : 291,447.18 = 114,396.57 : x
  2. Step 2: Convert to fraction form
    211,194.81/291,447.18 = 114,396.57/x
  3. Step 3: Cross multiply
    211,194.81x = 291,447.18 × 114,396.57
  4. Step 4: Simplify right side
    211,194.81x = 33,340,557,728.17
  5. Step 5: Solve for x
    x = 33,340,557,728.17/211,194.81
  6. Step 6: Final answer
    x = 157,866.37

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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.