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Finding the Fourth Proportional to 189,812.34, 261,940.95 and 114,375.42

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Solution

The fourth proportional to 189,812.34, 261,940.95 and 114,375.42 is: 157,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,812.34 : 261,940.95 = 114,375.42 : x
  2. Step 2: Convert to fraction form
    189,812.34/261,940.95 = 114,375.42/x
  3. Step 3: Cross multiply
    189,812.34x = 261,940.95 × 114,375.42
  4. Step 4: Simplify right side
    189,812.34x = 29,959,606,171.45
  5. Step 5: Solve for x
    x = 29,959,606,171.45/189,812.34
  6. Step 6: Final answer
    x = 157,838.03

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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.