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Finding the Fourth Proportional to 213,159.16, 294,122.82 and 122,493.88

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Solution

The fourth proportional to 213,159.16, 294,122.82 and 122,493.88 is: 169,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,159.16 : 294,122.82 = 122,493.88 : x
  2. Step 2: Convert to fraction form
    213,159.16/294,122.82 = 122,493.88/x
  3. Step 3: Cross multiply
    213,159.16x = 294,122.82 × 122,493.88
  4. Step 4: Simplify right side
    213,159.16x = 36,028,245,418.34
  5. Step 5: Solve for x
    x = 36,028,245,418.34/213,159.16
  6. Step 6: Final answer
    x = 169,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.