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Finding the Fourth Proportional to 213,196.63, 294,203.63 and 116,398.70

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Solution

The fourth proportional to 213,196.63, 294,203.63 and 116,398.70 is: 160,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,196.63 : 294,203.63 = 116,398.70 : x
  2. Step 2: Convert to fraction form
    213,196.63/294,203.63 = 116,398.70/x
  3. Step 3: Cross multiply
    213,196.63x = 294,203.63 × 116,398.70
  4. Step 4: Simplify right side
    213,196.63x = 34,244,919,485.29
  5. Step 5: Solve for x
    x = 34,244,919,485.29/213,196.63
  6. Step 6: Final answer
    x = 160,625.99

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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.