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Finding the Fourth Proportional to 213,729.36, 294,944.30 and 116,932.30

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Solution

The fourth proportional to 213,729.36, 294,944.30 and 116,932.30 is: 161,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,729.36 : 294,944.30 = 116,932.30 : x
  2. Step 2: Convert to fraction form
    213,729.36/294,944.30 = 116,932.30/x
  3. Step 3: Cross multiply
    213,729.36x = 294,944.30 × 116,932.30
  4. Step 4: Simplify right side
    213,729.36x = 34,488,516,400.58
  5. Step 5: Solve for x
    x = 34,488,516,400.58/213,729.36
  6. Step 6: Final answer
    x = 161,365.36

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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.