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Finding the Fourth Proportional to 209,435.01, 311,783.62 and 208,189.44

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Solution

The fourth proportional to 209,435.01, 311,783.62 and 208,189.44 is: 309,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.01 : 311,783.62 = 208,189.44 : x
  2. Step 2: Convert to fraction form
    209,435.01/311,783.62 = 208,189.44/x
  3. Step 3: Cross multiply
    209,435.01x = 311,783.62 × 208,189.44
  4. Step 4: Simplify right side
    209,435.01x = 64,910,054,649.11
  5. Step 5: Solve for x
    x = 64,910,054,649.11/209,435.01
  6. Step 6: Final answer
    x = 309,929.34

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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.