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Finding the Fourth Proportional to 213,190.71, 294,197.55 and 117,695.36

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Solution

The fourth proportional to 213,190.71, 294,197.55 and 117,695.36 is: 162,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,190.71 : 294,197.55 = 117,695.36 : x
  2. Step 2: Convert to fraction form
    213,190.71/294,197.55 = 117,695.36/x
  3. Step 3: Cross multiply
    213,190.71x = 294,197.55 × 117,695.36
  4. Step 4: Simplify right side
    213,190.71x = 34,625,685,087.38
  5. Step 5: Solve for x
    x = 34,625,685,087.38/213,190.71
  6. Step 6: Final answer
    x = 162,416.48

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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.