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Finding the Fourth Proportional to 213,042.54, 294,004.85 and 117,555.38

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Solution

The fourth proportional to 213,042.54, 294,004.85 and 117,555.38 is: 162,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042.54 : 294,004.85 = 117,555.38 : x
  2. Step 2: Convert to fraction form
    213,042.54/294,004.85 = 117,555.38/x
  3. Step 3: Cross multiply
    213,042.54x = 294,004.85 × 117,555.38
  4. Step 4: Simplify right side
    213,042.54x = 34,561,851,863.59
  5. Step 5: Solve for x
    x = 34,561,851,863.59/213,042.54
  6. Step 6: Final answer
    x = 162,229.82

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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.