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Finding the Fourth Proportional to 119,383.50, 164,745.75 and 65,668.50

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Solution

The fourth proportional to 119,383.50, 164,745.75 and 65,668.50 is: 90,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,383.50 : 164,745.75 = 65,668.50 : x
  2. Step 2: Convert to fraction form
    119,383.50/164,745.75 = 65,668.50/x
  3. Step 3: Cross multiply
    119,383.50x = 164,745.75 × 65,668.50
  4. Step 4: Simplify right side
    119,383.50x = 10,818,606,283.88
  5. Step 5: Solve for x
    x = 10,818,606,283.88/119,383.50
  6. Step 6: Final answer
    x = 90,620.62

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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.