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Finding the Fourth Proportional to 305,102.74, 421,052.32 and 184,219.96

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Solution

The fourth proportional to 305,102.74, 421,052.32 and 184,219.96 is: 254,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.74 : 421,052.32 = 184,219.96 : x
  2. Step 2: Convert to fraction form
    305,102.74/421,052.32 = 184,219.96/x
  3. Step 3: Cross multiply
    305,102.74x = 421,052.32 × 184,219.96
  4. Step 4: Simplify right side
    305,102.74x = 77,566,241,548.31
  5. Step 5: Solve for x
    x = 77,566,241,548.31/305,102.74
  6. Step 6: Final answer
    x = 254,229.91

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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.