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Finding the Fourth Proportional to 213,498.56, 294,629.18 and 116,702.56

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Solution

The fourth proportional to 213,498.56, 294,629.18 and 116,702.56 is: 161,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,498.56 : 294,629.18 = 116,702.56 : x
  2. Step 2: Convert to fraction form
    213,498.56/294,629.18 = 116,702.56/x
  3. Step 3: Cross multiply
    213,498.56x = 294,629.18 × 116,702.56
  4. Step 4: Simplify right side
    213,498.56x = 34,383,979,556.70
  5. Step 5: Solve for x
    x = 34,383,979,556.70/213,498.56
  6. Step 6: Final answer
    x = 161,050.17

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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.