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Finding the Fourth Proportional to 119,394.54, 164,761.77 and 65,678.37

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Solution

The fourth proportional to 119,394.54, 164,761.77 and 65,678.37 is: 90,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,394.54 : 164,761.77 = 65,678.37 : x
  2. Step 2: Convert to fraction form
    119,394.54/164,761.77 = 65,678.37/x
  3. Step 3: Cross multiply
    119,394.54x = 164,761.77 × 65,678.37
  4. Step 4: Simplify right side
    119,394.54x = 10,821,284,491.91
  5. Step 5: Solve for x
    x = 10,821,284,491.91/119,394.54
  6. Step 6: Final answer
    x = 90,634.67

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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.