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Finding the Fourth Proportional to 209,794.22, 289,505.95 and 119,138.21

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Solution

The fourth proportional to 209,794.22, 289,505.95 and 119,138.21 is: 164,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.22 : 289,505.95 = 119,138.21 : x
  2. Step 2: Convert to fraction form
    209,794.22/289,505.95 = 119,138.21/x
  3. Step 3: Cross multiply
    209,794.22x = 289,505.95 × 119,138.21
  4. Step 4: Simplify right side
    209,794.22x = 34,491,220,667.35
  5. Step 5: Solve for x
    x = 34,491,220,667.35/209,794.22
  6. Step 6: Final answer
    x = 164,405.01

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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.