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Finding the Fourth Proportional to 213,162.69, 294,165.21 and 117,669.15

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Solution

The fourth proportional to 213,162.69, 294,165.21 and 117,669.15 is: 162,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,162.69 : 294,165.21 = 117,669.15 : x
  2. Step 2: Convert to fraction form
    213,162.69/294,165.21 = 117,669.15/x
  3. Step 3: Cross multiply
    213,162.69x = 294,165.21 × 117,669.15
  4. Step 4: Simplify right side
    213,162.69x = 34,614,170,955.68
  5. Step 5: Solve for x
    x = 34,614,170,955.68/213,162.69
  6. Step 6: Final answer
    x = 162,383.82

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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.