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Finding the Fourth Proportional to 209,668.47, 289,339.62 and 119,023.65

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Solution

The fourth proportional to 209,668.47, 289,339.62 and 119,023.65 is: 164,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,668.47 : 289,339.62 = 119,023.65 : x
  2. Step 2: Convert to fraction form
    209,668.47/289,339.62 = 119,023.65/x
  3. Step 3: Cross multiply
    209,668.47x = 289,339.62 × 119,023.65
  4. Step 4: Simplify right side
    209,668.47x = 34,438,257,662.01
  5. Step 5: Solve for x
    x = 34,438,257,662.01/209,668.47
  6. Step 6: Final answer
    x = 164,251.01

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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.