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Finding the Fourth Proportional to 209,996.94, 289,789.46 and 114,505.50

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Solution

The fourth proportional to 209,996.94, 289,789.46 and 114,505.50 is: 158,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,996.94 : 289,789.46 = 114,505.50 : x
  2. Step 2: Convert to fraction form
    209,996.94/289,789.46 = 114,505.50/x
  3. Step 3: Cross multiply
    209,996.94x = 289,789.46 × 114,505.50
  4. Step 4: Simplify right side
    209,996.94x = 33,182,487,012.03
  5. Step 5: Solve for x
    x = 33,182,487,012.03/209,996.94
  6. Step 6: Final answer
    x = 158,014.15

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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.