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Finding the Fourth Proportional to 213,161.83, 294,165.37 and 117,666.47

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Solution

The fourth proportional to 213,161.83, 294,165.37 and 117,666.47 is: 162,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,161.83 : 294,165.37 = 117,666.47 : x
  2. Step 2: Convert to fraction form
    213,161.83/294,165.37 = 117,666.47/x
  3. Step 3: Cross multiply
    213,161.83x = 294,165.37 × 117,666.47
  4. Step 4: Simplify right side
    213,161.83x = 34,613,400,684.14
  5. Step 5: Solve for x
    x = 34,613,400,684.14/213,161.83
  6. Step 6: Final answer
    x = 162,380.86

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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.