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Finding the Fourth Proportional to 208,028.80, 311,524.80 and 166,556.80

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Solution

The fourth proportional to 208,028.80, 311,524.80 and 166,556.80 is: 249,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,028.80 : 311,524.80 = 166,556.80 : x
  2. Step 2: Convert to fraction form
    208,028.80/311,524.80 = 166,556.80/x
  3. Step 3: Cross multiply
    208,028.80x = 311,524.80 × 166,556.80
  4. Step 4: Simplify right side
    208,028.80x = 51,886,573,808.64
  5. Step 5: Solve for x
    x = 51,886,573,808.64/208,028.80
  6. Step 6: Final answer
    x = 249,420.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.