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Finding the Fourth Proportional to 213,179.77, 294,180.38 and 117,684.42

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Solution

The fourth proportional to 213,179.77, 294,180.38 and 117,684.42 is: 162,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,179.77 : 294,180.38 = 117,684.42 : x
  2. Step 2: Convert to fraction form
    213,179.77/294,180.38 = 117,684.42/x
  3. Step 3: Cross multiply
    213,179.77x = 294,180.38 × 117,684.42
  4. Step 4: Simplify right side
    213,179.77x = 34,620,446,218.91
  5. Step 5: Solve for x
    x = 34,620,446,218.91/213,179.77
  6. Step 6: Final answer
    x = 162,400.24

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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.