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Finding the Fourth Proportional to 209,518.02, 289,129.32 and 114,022.67

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Solution

The fourth proportional to 209,518.02, 289,129.32 and 114,022.67 is: 157,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.02 : 289,129.32 = 114,022.67 : x
  2. Step 2: Convert to fraction form
    209,518.02/289,129.32 = 114,022.67/x
  3. Step 3: Cross multiply
    209,518.02x = 289,129.32 × 114,022.67
  4. Step 4: Simplify right side
    209,518.02x = 32,967,295,596.04
  5. Step 5: Solve for x
    x = 32,967,295,596.04/209,518.02
  6. Step 6: Final answer
    x = 157,348.26

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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.