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Finding the Fourth Proportional to 232,243.68, 348,118.86 and 147,738

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Solution

The fourth proportional to 232,243.68, 348,118.86 and 147,738 is: 221,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,243.68 : 348,118.86 = 147,738 : x
  2. Step 2: Convert to fraction form
    232,243.68/348,118.86 = 147,738/x
  3. Step 3: Cross multiply
    232,243.68x = 348,118.86 × 147,738
  4. Step 4: Simplify right side
    232,243.68x = 51,430,384,138.68
  5. Step 5: Solve for x
    x = 51,430,384,138.68/232,243.68
  6. Step 6: Final answer
    x = 221,450.09

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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.