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Finding the Fourth Proportional to 213,158.46, 294,158.73 and 117,665.22

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Solution

The fourth proportional to 213,158.46, 294,158.73 and 117,665.22 is: 162,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.46 : 294,158.73 = 117,665.22 : x
  2. Step 2: Convert to fraction form
    213,158.46/294,158.73 = 117,665.22/x
  3. Step 3: Cross multiply
    213,158.46x = 294,158.73 × 117,665.22
  4. Step 4: Simplify right side
    213,158.46x = 34,612,251,680.37
  5. Step 5: Solve for x
    x = 34,612,251,680.37/213,158.46
  6. Step 6: Final answer
    x = 162,378.03

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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.