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Finding the Fourth Proportional to 209,594.70, 289,231.23 and 114,098.94

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Solution

The fourth proportional to 209,594.70, 289,231.23 and 114,098.94 is: 157,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.70 : 289,231.23 = 114,098.94 : x
  2. Step 2: Convert to fraction form
    209,594.70/289,231.23 = 114,098.94/x
  3. Step 3: Cross multiply
    209,594.70x = 289,231.23 × 114,098.94
  4. Step 4: Simplify right side
    209,594.70x = 33,000,976,757.90
  5. Step 5: Solve for x
    x = 33,000,976,757.90/209,594.70
  6. Step 6: Final answer
    x = 157,451.39

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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.