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Finding the Fourth Proportional to 294,096, 405,852.96 and 159,960

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Solution

The fourth proportional to 294,096, 405,852.96 and 159,960 is: 220,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,096 : 405,852.96 = 159,960 : x
  2. Step 2: Convert to fraction form
    294,096/405,852.96 = 159,960/x
  3. Step 3: Cross multiply
    294,096x = 405,852.96 × 159,960
  4. Step 4: Simplify right side
    294,096x = 64,920,239,481.60
  5. Step 5: Solve for x
    x = 64,920,239,481.60/294,096
  6. Step 6: Final answer
    x = 220,745.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.