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Finding the Fourth Proportional to 209,654.30, 289,326.39 and 114,162.86

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Solution

The fourth proportional to 209,654.30, 289,326.39 and 114,162.86 is: 157,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,654.30 : 289,326.39 = 114,162.86 : x
  2. Step 2: Convert to fraction form
    209,654.30/289,326.39 = 114,162.86/x
  3. Step 3: Cross multiply
    209,654.30x = 289,326.39 × 114,162.86
  4. Step 4: Simplify right side
    209,654.30x = 33,030,328,155.88
  5. Step 5: Solve for x
    x = 33,030,328,155.88/209,654.30
  6. Step 6: Final answer
    x = 157,546.63

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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.