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Finding the Fourth Proportional to 209,604.85, 289,245.13 and 114,111.32

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Solution

The fourth proportional to 209,604.85, 289,245.13 and 114,111.32 is: 157,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.85 : 289,245.13 = 114,111.32 : x
  2. Step 2: Convert to fraction form
    209,604.85/289,245.13 = 114,111.32/x
  3. Step 3: Cross multiply
    209,604.85x = 289,245.13 × 114,111.32
  4. Step 4: Simplify right side
    209,604.85x = 33,006,141,856.37
  5. Step 5: Solve for x
    x = 33,006,141,856.37/209,604.85
  6. Step 6: Final answer
    x = 157,468.41

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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.