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Finding the Fourth Proportional to 209,443.68, 289,025.60 and 113,947.92

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Solution

The fourth proportional to 209,443.68, 289,025.60 and 113,947.92 is: 157,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,443.68 : 289,025.60 = 113,947.92 : x
  2. Step 2: Convert to fraction form
    209,443.68/289,025.60 = 113,947.92/x
  3. Step 3: Cross multiply
    209,443.68x = 289,025.60 × 113,947.92
  4. Step 4: Simplify right side
    209,443.68x = 32,933,865,946.75
  5. Step 5: Solve for x
    x = 32,933,865,946.75/209,443.68
  6. Step 6: Final answer
    x = 157,244.50

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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.