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Finding the Fourth Proportional to 213,188.23, 294,200.13 and 117,695.08

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Solution

The fourth proportional to 213,188.23, 294,200.13 and 117,695.08 is: 162,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,188.23 : 294,200.13 = 117,695.08 : x
  2. Step 2: Convert to fraction form
    213,188.23/294,200.13 = 117,695.08/x
  3. Step 3: Cross multiply
    213,188.23x = 294,200.13 × 117,695.08
  4. Step 4: Simplify right side
    213,188.23x = 34,625,907,836.36
  5. Step 5: Solve for x
    x = 34,625,907,836.36/213,188.23
  6. Step 6: Final answer
    x = 162,419.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.