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Finding the Fourth Proportional to 211,825.81, 292,324.71 and 116,334.57

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Solution

The fourth proportional to 211,825.81, 292,324.71 and 116,334.57 is: 160,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,825.81 : 292,324.71 = 116,334.57 : x
  2. Step 2: Convert to fraction form
    211,825.81/292,324.71 = 116,334.57/x
  3. Step 3: Cross multiply
    211,825.81x = 292,324.71 × 116,334.57
  4. Step 4: Simplify right side
    211,825.81x = 34,007,469,438.22
  5. Step 5: Solve for x
    x = 34,007,469,438.22/211,825.81
  6. Step 6: Final answer
    x = 160,544.50

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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.