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Finding the Fourth Proportional to 119,668.14, 165,139.18 and 65,222.03

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Solution

The fourth proportional to 119,668.14, 165,139.18 and 65,222.03 is: 90,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.14 : 165,139.18 = 65,222.03 : x
  2. Step 2: Convert to fraction form
    119,668.14/165,139.18 = 65,222.03/x
  3. Step 3: Cross multiply
    119,668.14x = 165,139.18 × 65,222.03
  4. Step 4: Simplify right side
    119,668.14x = 10,770,711,726.44
  5. Step 5: Solve for x
    x = 10,770,711,726.44/119,668.14
  6. Step 6: Final answer
    x = 90,004.84

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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.