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Finding the Fourth Proportional to 212,847.75, 293,731.11 and 117,352.80

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Solution

The fourth proportional to 212,847.75, 293,731.11 and 117,352.80 is: 161,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.75 : 293,731.11 = 117,352.80 : x
  2. Step 2: Convert to fraction form
    212,847.75/293,731.11 = 117,352.80/x
  3. Step 3: Cross multiply
    212,847.75x = 293,731.11 × 117,352.80
  4. Step 4: Simplify right side
    212,847.75x = 34,470,168,205.61
  5. Step 5: Solve for x
    x = 34,470,168,205.61/212,847.75
  6. Step 6: Final answer
    x = 161,947.53

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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.