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Finding the Fourth Proportional to 119,389.29, 164,742.27 and 80,711.29

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Solution

The fourth proportional to 119,389.29, 164,742.27 and 80,711.29 is: 111,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,389.29 : 164,742.27 = 80,711.29 : x
  2. Step 2: Convert to fraction form
    119,389.29/164,742.27 = 80,711.29/x
  3. Step 3: Cross multiply
    119,389.29x = 164,742.27 × 80,711.29
  4. Step 4: Simplify right side
    119,389.29x = 13,296,560,219.31
  5. Step 5: Solve for x
    x = 13,296,560,219.31/119,389.29
  6. Step 6: Final answer
    x = 111,371.46

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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.