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Finding the Fourth Proportional to 194,769.78, 291,978.33 and 76,409.34

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Solution

The fourth proportional to 194,769.78, 291,978.33 and 76,409.34 is: 114,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769.78 : 291,978.33 = 76,409.34 : x
  2. Step 2: Convert to fraction form
    194,769.78/291,978.33 = 76,409.34/x
  3. Step 3: Cross multiply
    194,769.78x = 291,978.33 × 76,409.34
  4. Step 4: Simplify right side
    194,769.78x = 22,309,871,489.60
  5. Step 5: Solve for x
    x = 22,309,871,489.60/194,769.78
  6. Step 6: Final answer
    x = 114,544.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.