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Finding the Fourth Proportional to 213,218.35, 294,245.91 and 117,731.08

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Solution

The fourth proportional to 213,218.35, 294,245.91 and 117,731.08 is: 162,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218.35 : 294,245.91 = 117,731.08 : x
  2. Step 2: Convert to fraction form
    213,218.35/294,245.91 = 117,731.08/x
  3. Step 3: Cross multiply
    213,218.35x = 294,245.91 × 117,731.08
  4. Step 4: Simplify right side
    213,218.35x = 34,641,888,769.88
  5. Step 5: Solve for x
    x = 34,641,888,769.88/213,218.35
  6. Step 6: Final answer
    x = 162,471.42

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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.