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Finding the Fourth Proportional to 213,188.58, 294,198.12 and 117,695.88

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Solution

The fourth proportional to 213,188.58, 294,198.12 and 117,695.88 is: 162,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,188.58 : 294,198.12 = 117,695.88 : x
  2. Step 2: Convert to fraction form
    213,188.58/294,198.12 = 117,695.88/x
  3. Step 3: Cross multiply
    213,188.58x = 294,198.12 × 117,695.88
  4. Step 4: Simplify right side
    213,188.58x = 34,625,906,627.75
  5. Step 5: Solve for x
    x = 34,625,906,627.75/213,188.58
  6. Step 6: Final answer
    x = 162,419.14

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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.