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Finding the Fourth Proportional to 209,445.59, 311,799.36 and 208,200.02

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Solution

The fourth proportional to 209,445.59, 311,799.36 and 208,200.02 is: 309,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,445.59 : 311,799.36 = 208,200.02 : x
  2. Step 2: Convert to fraction form
    209,445.59/311,799.36 = 208,200.02/x
  3. Step 3: Cross multiply
    209,445.59x = 311,799.36 × 208,200.02
  4. Step 4: Simplify right side
    209,445.59x = 64,916,631,428.99
  5. Step 5: Solve for x
    x = 64,916,631,428.99/209,445.59
  6. Step 6: Final answer
    x = 309,945.09

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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.