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Finding the Fourth Proportional to 209,441, 289,026.96 and 113,947.40

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Solution

The fourth proportional to 209,441, 289,026.96 and 113,947.40 is: 157,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,441 : 289,026.96 = 113,947.40 : x
  2. Step 2: Convert to fraction form
    209,441/289,026.96 = 113,947.40/x
  3. Step 3: Cross multiply
    209,441x = 289,026.96 × 113,947.40
  4. Step 4: Simplify right side
    209,441x = 32,933,870,621.90
  5. Step 5: Solve for x
    x = 32,933,870,621.90/209,441
  6. Step 6: Final answer
    x = 157,246.53

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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.