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Finding the Fourth Proportional to 228,015.56, 342,092.54 and 161,584.20

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Solution

The fourth proportional to 228,015.56, 342,092.54 and 161,584.20 is: 242,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,015.56 : 342,092.54 = 161,584.20 : x
  2. Step 2: Convert to fraction form
    228,015.56/342,092.54 = 161,584.20/x
  3. Step 3: Cross multiply
    228,015.56x = 342,092.54 × 161,584.20
  4. Step 4: Simplify right side
    228,015.56x = 55,276,749,401.87
  5. Step 5: Solve for x
    x = 55,276,749,401.87/228,015.56
  6. Step 6: Final answer
    x = 242,425.34

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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.