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Finding the Fourth Proportional to 209,750.87, 289,460.67 and 114,257.36

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Solution

The fourth proportional to 209,750.87, 289,460.67 and 114,257.36 is: 157,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,750.87 : 289,460.67 = 114,257.36 : x
  2. Step 2: Convert to fraction form
    209,750.87/289,460.67 = 114,257.36/x
  3. Step 3: Cross multiply
    209,750.87x = 289,460.67 × 114,257.36
  4. Step 4: Simplify right side
    209,750.87x = 33,073,011,978.03
  5. Step 5: Solve for x
    x = 33,073,011,978.03/209,750.87
  6. Step 6: Final answer
    x = 157,677.59

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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.