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Finding the Fourth Proportional to 213,292.08, 294,337.44 and 117,796.74

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Solution

The fourth proportional to 213,292.08, 294,337.44 and 117,796.74 is: 162,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,292.08 : 294,337.44 = 117,796.74 : x
  2. Step 2: Convert to fraction form
    213,292.08/294,337.44 = 117,796.74/x
  3. Step 3: Cross multiply
    213,292.08x = 294,337.44 × 117,796.74
  4. Step 4: Simplify right side
    213,292.08x = 34,671,990,891.95
  5. Step 5: Solve for x
    x = 34,671,990,891.95/213,292.08
  6. Step 6: Final answer
    x = 162,556.39

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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.