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Finding the Fourth Proportional to 209,523.74, 289,173.23 and 117,653.34

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Solution

The fourth proportional to 209,523.74, 289,173.23 and 117,653.34 is: 162,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,523.74 : 289,173.23 = 117,653.34 : x
  2. Step 2: Convert to fraction form
    209,523.74/289,173.23 = 117,653.34/x
  3. Step 3: Cross multiply
    209,523.74x = 289,173.23 × 117,653.34
  4. Step 4: Simplify right side
    209,523.74x = 34,022,194,902.22
  5. Step 5: Solve for x
    x = 34,022,194,902.22/209,523.74
  6. Step 6: Final answer
    x = 162,378.71

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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.