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Finding the Fourth Proportional to 209,448.32, 289,045.89 and 113,958.64

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Solution

The fourth proportional to 209,448.32, 289,045.89 and 113,958.64 is: 157,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448.32 : 289,045.89 = 113,958.64 : x
  2. Step 2: Convert to fraction form
    209,448.32/289,045.89 = 113,958.64/x
  3. Step 3: Cross multiply
    209,448.32x = 289,045.89 × 113,958.64
  4. Step 4: Simplify right side
    209,448.32x = 32,939,274,506.97
  5. Step 5: Solve for x
    x = 32,939,274,506.97/209,448.32
  6. Step 6: Final answer
    x = 157,266.84

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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.