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Finding the Fourth Proportional to 119,668.10, 165,135.24 and 65,952.95

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Solution

The fourth proportional to 119,668.10, 165,135.24 and 65,952.95 is: 91,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.10 : 165,135.24 = 65,952.95 : x
  2. Step 2: Convert to fraction form
    119,668.10/165,135.24 = 65,952.95/x
  3. Step 3: Cross multiply
    119,668.10x = 165,135.24 × 65,952.95
  4. Step 4: Simplify right side
    119,668.10x = 10,891,155,401.28
  5. Step 5: Solve for x
    x = 10,891,155,401.28/119,668.10
  6. Step 6: Final answer
    x = 91,011.35

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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.