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Finding the Fourth Proportional to 262,092.16, 361,676.46 and 147,367.54

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Solution

The fourth proportional to 262,092.16, 361,676.46 and 147,367.54 is: 203,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,092.16 : 361,676.46 = 147,367.54 : x
  2. Step 2: Convert to fraction form
    262,092.16/361,676.46 = 147,367.54/x
  3. Step 3: Cross multiply
    262,092.16x = 361,676.46 × 147,367.54
  4. Step 4: Simplify right side
    262,092.16x = 53,299,370,186.11
  5. Step 5: Solve for x
    x = 53,299,370,186.11/262,092.16
  6. Step 6: Final answer
    x = 203,361.18

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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.