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Finding the Fourth Proportional to 213,514.98, 294,640.49 and 116,723.82

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Solution

The fourth proportional to 213,514.98, 294,640.49 and 116,723.82 is: 161,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,514.98 : 294,640.49 = 116,723.82 : x
  2. Step 2: Convert to fraction form
    213,514.98/294,640.49 = 116,723.82/x
  3. Step 3: Cross multiply
    213,514.98x = 294,640.49 × 116,723.82
  4. Step 4: Simplify right side
    213,514.98x = 34,391,563,818.36
  5. Step 5: Solve for x
    x = 34,391,563,818.36/213,514.98
  6. Step 6: Final answer
    x = 161,073.31

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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.