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Finding the Fourth Proportional to 119,119.34, 164,274.98 and 80,936.05

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Solution

The fourth proportional to 119,119.34, 164,274.98 and 80,936.05 is: 111,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,119.34 : 164,274.98 = 80,936.05 : x
  2. Step 2: Convert to fraction form
    119,119.34/164,274.98 = 80,936.05/x
  3. Step 3: Cross multiply
    119,119.34x = 164,274.98 × 80,936.05
  4. Step 4: Simplify right side
    119,119.34x = 13,295,767,995.03
  5. Step 5: Solve for x
    x = 13,295,767,995.03/119,119.34
  6. Step 6: Final answer
    x = 111,617.21

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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.