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Finding the Fourth Proportional to 232,393.80, 348,072.30 and 190,921.80

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Solution

The fourth proportional to 232,393.80, 348,072.30 and 190,921.80 is: 285,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,393.80 : 348,072.30 = 190,921.80 : x
  2. Step 2: Convert to fraction form
    232,393.80/348,072.30 = 190,921.80/x
  3. Step 3: Cross multiply
    232,393.80x = 348,072.30 × 190,921.80
  4. Step 4: Simplify right side
    232,393.80x = 66,454,590,046.14
  5. Step 5: Solve for x
    x = 66,454,590,046.14/232,393.80
  6. Step 6: Final answer
    x = 285,956.81

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Why These Related Problems?

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