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Finding the Fourth Proportional to 209,424.91, 311,768.72 and 208,179.37

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Solution

The fourth proportional to 209,424.91, 311,768.72 and 208,179.37 is: 309,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.91 : 311,768.72 = 208,179.37 : x
  2. Step 2: Convert to fraction form
    209,424.91/311,768.72 = 208,179.37/x
  3. Step 3: Cross multiply
    209,424.91x = 311,768.72 × 208,179.37
  4. Step 4: Simplify right side
    209,424.91x = 64,903,815,715.31
  5. Step 5: Solve for x
    x = 64,903,815,715.31/209,424.91
  6. Step 6: Final answer
    x = 309,914.50

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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.