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Finding the Fourth Proportional to 209,116, 288,581.43 and 113,622.67

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Solution

The fourth proportional to 209,116, 288,581.43 and 113,622.67 is: 156,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,116 : 288,581.43 = 113,622.67 : x
  2. Step 2: Convert to fraction form
    209,116/288,581.43 = 113,622.67/x
  3. Step 3: Cross multiply
    209,116x = 288,581.43 × 113,622.67
  4. Step 4: Simplify right side
    209,116x = 32,789,392,589.02
  5. Step 5: Solve for x
    x = 32,789,392,589.02/209,116
  6. Step 6: Final answer
    x = 156,800.02

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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.