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Finding the Fourth Proportional to 209,814.46, 289,544.00 and 114,321.15

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Solution

The fourth proportional to 209,814.46, 289,544.00 and 114,321.15 is: 157,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814.46 : 289,544.00 = 114,321.15 : x
  2. Step 2: Convert to fraction form
    209,814.46/289,544.00 = 114,321.15/x
  3. Step 3: Cross multiply
    209,814.46x = 289,544.00 × 114,321.15
  4. Step 4: Simplify right side
    209,814.46x = 33,101,002,483.99
  5. Step 5: Solve for x
    x = 33,101,002,483.99/209,814.46
  6. Step 6: Final answer
    x = 157,763.21

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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.