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Finding the Fourth Proportional to 213,404.92, 294,504.73 and 117,917.80

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Solution

The fourth proportional to 213,404.92, 294,504.73 and 117,917.80 is: 162,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,404.92 : 294,504.73 = 117,917.80 : x
  2. Step 2: Convert to fraction form
    213,404.92/294,504.73 = 117,917.80/x
  3. Step 3: Cross multiply
    213,404.92x = 294,504.73 × 117,917.80
  4. Step 4: Simplify right side
    213,404.92x = 34,727,348,820.14
  5. Step 5: Solve for x
    x = 34,727,348,820.14/213,404.92
  6. Step 6: Final answer
    x = 162,729.84

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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.