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Finding the Fourth Proportional to 209,716.94, 289,409.82 and 114,223.34

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Solution

The fourth proportional to 209,716.94, 289,409.82 and 114,223.34 is: 157,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,716.94 : 289,409.82 = 114,223.34 : x
  2. Step 2: Convert to fraction form
    209,716.94/289,409.82 = 114,223.34/x
  3. Step 3: Cross multiply
    209,716.94x = 289,409.82 × 114,223.34
  4. Step 4: Simplify right side
    209,716.94x = 33,057,356,269.20
  5. Step 5: Solve for x
    x = 33,057,356,269.20/209,716.94
  6. Step 6: Final answer
    x = 157,628.45

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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.