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Finding the Fourth Proportional to 265,208.12, 397,885.22 and 78,219.62

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Solution

The fourth proportional to 265,208.12, 397,885.22 and 78,219.62 is: 117,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,208.12 : 397,885.22 = 78,219.62 : x
  2. Step 2: Convert to fraction form
    265,208.12/397,885.22 = 78,219.62/x
  3. Step 3: Cross multiply
    265,208.12x = 397,885.22 × 78,219.62
  4. Step 4: Simplify right side
    265,208.12x = 31,122,430,712.02
  5. Step 5: Solve for x
    x = 31,122,430,712.02/265,208.12
  6. Step 6: Final answer
    x = 117,350.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.