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Finding the Fourth Proportional to 209,674.80, 289,354.68 and 114,183.36

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Solution

The fourth proportional to 209,674.80, 289,354.68 and 114,183.36 is: 157,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.80 : 289,354.68 = 114,183.36 : x
  2. Step 2: Convert to fraction form
    209,674.80/289,354.68 = 114,183.36/x
  3. Step 3: Cross multiply
    209,674.80x = 289,354.68 × 114,183.36
  4. Step 4: Simplify right side
    209,674.80x = 33,039,489,594.12
  5. Step 5: Solve for x
    x = 33,039,489,594.12/209,674.80
  6. Step 6: Final answer
    x = 157,574.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.