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Finding the Fourth Proportional to 209,220.49, 284,861.68 and 208,556.19

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Solution

The fourth proportional to 209,220.49, 284,861.68 and 208,556.19 is: 283,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,220.49 : 284,861.68 = 208,556.19 : x
  2. Step 2: Convert to fraction form
    209,220.49/284,861.68 = 208,556.19/x
  3. Step 3: Cross multiply
    209,220.49x = 284,861.68 × 208,556.19
  4. Step 4: Simplify right side
    209,220.49x = 59,409,664,190.71
  5. Step 5: Solve for x
    x = 59,409,664,190.71/209,220.49
  6. Step 6: Final answer
    x = 283,957.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.