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Finding the Fourth Proportional to 119,668.98, 165,145.13 and 65,953.23

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Solution

The fourth proportional to 119,668.98, 165,145.13 and 65,953.23 is: 91,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.98 : 165,145.13 = 65,953.23 : x
  2. Step 2: Convert to fraction form
    119,668.98/165,145.13 = 65,953.23/x
  3. Step 3: Cross multiply
    119,668.98x = 165,145.13 × 65,953.23
  4. Step 4: Simplify right side
    119,668.98x = 10,891,854,742.27
  5. Step 5: Solve for x
    x = 10,891,854,742.27/119,668.98
  6. Step 6: Final answer
    x = 91,016.53

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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.