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Finding the Fourth Proportional to 209,205.62, 288,696.69 and 119,764.34

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Solution

The fourth proportional to 209,205.62, 288,696.69 and 119,764.34 is: 165,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,205.62 : 288,696.69 = 119,764.34 : x
  2. Step 2: Convert to fraction form
    209,205.62/288,696.69 = 119,764.34/x
  3. Step 3: Cross multiply
    209,205.62x = 288,696.69 × 119,764.34
  4. Step 4: Simplify right side
    209,205.62x = 34,575,568,538.03
  5. Step 5: Solve for x
    x = 34,575,568,538.03/209,205.62
  6. Step 6: Final answer
    x = 165,270.74

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1.5x scale

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.