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Finding the Fourth Proportional to 209,226.41, 288,745.86 and 117,354.32

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Solution

The fourth proportional to 209,226.41, 288,745.86 and 117,354.32 is: 161,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,226.41 : 288,745.86 = 117,354.32 : x
  2. Step 2: Convert to fraction form
    209,226.41/288,745.86 = 117,354.32/x
  3. Step 3: Cross multiply
    209,226.41x = 288,745.86 × 117,354.32
  4. Step 4: Simplify right side
    209,226.41x = 33,885,572,609.39
  5. Step 5: Solve for x
    x = 33,885,572,609.39/209,226.41
  6. Step 6: Final answer
    x = 161,956.48

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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.