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Finding the Fourth Proportional to 228,884.24, 342,946.20 and 161,993.36

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Solution

The fourth proportional to 228,884.24, 342,946.20 and 161,993.36 is: 242,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,884.24 : 342,946.20 = 161,993.36 : x
  2. Step 2: Convert to fraction form
    228,884.24/342,946.20 = 161,993.36/x
  3. Step 3: Cross multiply
    228,884.24x = 342,946.20 × 161,993.36
  4. Step 4: Simplify right side
    228,884.24x = 55,555,007,237.23
  5. Step 5: Solve for x
    x = 55,555,007,237.23/228,884.24
  6. Step 6: Final answer
    x = 242,720.98

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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.