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Finding the Fourth Proportional to 213,418.97, 294,514.52 and 116,620.66

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Solution

The fourth proportional to 213,418.97, 294,514.52 and 116,620.66 is: 160,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,418.97 : 294,514.52 = 116,620.66 : x
  2. Step 2: Convert to fraction form
    213,418.97/294,514.52 = 116,620.66/x
  3. Step 3: Cross multiply
    213,418.97x = 294,514.52 × 116,620.66
  4. Step 4: Simplify right side
    213,418.97x = 34,346,477,487.02
  5. Step 5: Solve for x
    x = 34,346,477,487.02/213,418.97
  6. Step 6: Final answer
    x = 160,934.51

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1.5x scale

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.