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Finding the Fourth Proportional to 299,810, 449,740.92 and 78,194

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Solution

The fourth proportional to 299,810, 449,740.92 and 78,194 is: 117,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,810 : 449,740.92 = 78,194 : x
  2. Step 2: Convert to fraction form
    299,810/449,740.92 = 78,194/x
  3. Step 3: Cross multiply
    299,810x = 449,740.92 × 78,194
  4. Step 4: Simplify right side
    299,810x = 35,167,041,498.48
  5. Step 5: Solve for x
    x = 35,167,041,498.48/299,810
  6. Step 6: Final answer
    x = 117,297.76

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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.