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Finding the Fourth Proportional to 230,846.40, 345,686.40 and 184,190.40

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Solution

The fourth proportional to 230,846.40, 345,686.40 and 184,190.40 is: 275,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,846.40 : 345,686.40 = 184,190.40 : x
  2. Step 2: Convert to fraction form
    230,846.40/345,686.40 = 184,190.40/x
  3. Step 3: Cross multiply
    230,846.40x = 345,686.40 × 184,190.40
  4. Step 4: Simplify right side
    230,846.40x = 63,672,116,290.56
  5. Step 5: Solve for x
    x = 63,672,116,290.56/230,846.40
  6. Step 6: Final answer
    x = 275,820.27

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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.