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Finding the Fourth Proportional to 213,494.32, 294,623.32 and 116,698.31

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Solution

The fourth proportional to 213,494.32, 294,623.32 and 116,698.31 is: 161,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,494.32 : 294,623.32 = 116,698.31 : x
  2. Step 2: Convert to fraction form
    213,494.32/294,623.32 = 116,698.31/x
  3. Step 3: Cross multiply
    213,494.32x = 294,623.32 × 116,698.31
  4. Step 4: Simplify right side
    213,494.32x = 34,382,042,057.47
  5. Step 5: Solve for x
    x = 34,382,042,057.47/213,494.32
  6. Step 6: Final answer
    x = 161,044.29

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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.