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Finding the Fourth Proportional to 213,103.49, 294,080.94 and 116,309.30

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Solution

The fourth proportional to 213,103.49, 294,080.94 and 116,309.30 is: 160,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,103.49 : 294,080.94 = 116,309.30 : x
  2. Step 2: Convert to fraction form
    213,103.49/294,080.94 = 116,309.30/x
  3. Step 3: Cross multiply
    213,103.49x = 294,080.94 × 116,309.30
  4. Step 4: Simplify right side
    213,103.49x = 34,204,346,804.34
  5. Step 5: Solve for x
    x = 34,204,346,804.34/213,103.49
  6. Step 6: Final answer
    x = 160,505.81

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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.