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Finding the Fourth Proportional to 194,929.22, 269,004.54 and 114,358.14

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Solution

The fourth proportional to 194,929.22, 269,004.54 and 114,358.14 is: 157,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,929.22 : 269,004.54 = 114,358.14 : x
  2. Step 2: Convert to fraction form
    194,929.22/269,004.54 = 114,358.14/x
  3. Step 3: Cross multiply
    194,929.22x = 269,004.54 × 114,358.14
  4. Step 4: Simplify right side
    194,929.22x = 30,762,858,845.96
  5. Step 5: Solve for x
    x = 30,762,858,845.96/194,929.22
  6. Step 6: Final answer
    x = 157,815.53

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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.