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Finding the Fourth Proportional to 227,556.80, 341,437.60 and 102,833.60

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Solution

The fourth proportional to 227,556.80, 341,437.60 and 102,833.60 is: 154,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,556.80 : 341,437.60 = 102,833.60 : x
  2. Step 2: Convert to fraction form
    227,556.80/341,437.60 = 102,833.60/x
  3. Step 3: Cross multiply
    227,556.80x = 341,437.60 × 102,833.60
  4. Step 4: Simplify right side
    227,556.80x = 35,111,257,583.36
  5. Step 5: Solve for x
    x = 35,111,257,583.36/227,556.80
  6. Step 6: Final answer
    x = 154,296.67

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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.