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Finding the Fourth Proportional to 209,846.88, 289,588.56 and 114,353.52

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Solution

The fourth proportional to 209,846.88, 289,588.56 and 114,353.52 is: 157,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,846.88 : 289,588.56 = 114,353.52 : x
  2. Step 2: Convert to fraction form
    209,846.88/289,588.56 = 114,353.52/x
  3. Step 3: Cross multiply
    209,846.88x = 289,588.56 × 114,353.52
  4. Step 4: Simplify right side
    209,846.88x = 33,115,471,187.73
  5. Step 5: Solve for x
    x = 33,115,471,187.73/209,846.88
  6. Step 6: Final answer
    x = 157,807.78

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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.