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Finding the Fourth Proportional to 209,679.81, 289,348.11 and 114,185.94

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Solution

The fourth proportional to 209,679.81, 289,348.11 and 114,185.94 is: 157,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,679.81 : 289,348.11 = 114,185.94 : x
  2. Step 2: Convert to fraction form
    209,679.81/289,348.11 = 114,185.94/x
  3. Step 3: Cross multiply
    209,679.81x = 289,348.11 × 114,185.94
  4. Step 4: Simplify right side
    209,679.81x = 33,039,485,927.57
  5. Step 5: Solve for x
    x = 33,039,485,927.57/209,679.81
  6. Step 6: Final answer
    x = 157,571.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.