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Finding the Fourth Proportional to 209,747.14, 289,449.57 and 114,253.54

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Solution

The fourth proportional to 209,747.14, 289,449.57 and 114,253.54 is: 157,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747.14 : 289,449.57 = 114,253.54 : x
  2. Step 2: Convert to fraction form
    209,747.14/289,449.57 = 114,253.54/x
  3. Step 3: Cross multiply
    209,747.14x = 289,449.57 × 114,253.54
  4. Step 4: Simplify right side
    209,747.14x = 33,070,638,023.98
  5. Step 5: Solve for x
    x = 33,070,638,023.98/209,747.14
  6. Step 6: Final answer
    x = 157,669.08

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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.