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Finding the Fourth Proportional to 194,328.71, 291,659.22 and 76,083.09

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Solution

The fourth proportional to 194,328.71, 291,659.22 and 76,083.09 is: 114,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,328.71 : 291,659.22 = 76,083.09 : x
  2. Step 2: Convert to fraction form
    194,328.71/291,659.22 = 76,083.09/x
  3. Step 3: Cross multiply
    194,328.71x = 291,659.22 × 76,083.09
  4. Step 4: Simplify right side
    194,328.71x = 22,190,332,845.88
  5. Step 5: Solve for x
    x = 22,190,332,845.88/194,328.71
  6. Step 6: Final answer
    x = 114,189.68

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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.