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Finding the Fourth Proportional to 209,423.41, 311,766.50 and 208,177.87

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Solution

The fourth proportional to 209,423.41, 311,766.50 and 208,177.87 is: 309,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,423.41 : 311,766.50 = 208,177.87 : x
  2. Step 2: Convert to fraction form
    209,423.41/311,766.50 = 208,177.87/x
  3. Step 3: Cross multiply
    209,423.41x = 311,766.50 × 208,177.87
  4. Step 4: Simplify right side
    209,423.41x = 64,902,885,907.36
  5. Step 5: Solve for x
    x = 64,902,885,907.36/209,423.41
  6. Step 6: Final answer
    x = 309,912.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.