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Finding the Fourth Proportional to 209,819.99, 289,464.90 and 146,194.69

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Solution

The fourth proportional to 209,819.99, 289,464.90 and 146,194.69 is: 201,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,819.99 : 289,464.90 = 146,194.69 : x
  2. Step 2: Convert to fraction form
    209,819.99/289,464.90 = 146,194.69/x
  3. Step 3: Cross multiply
    209,819.99x = 289,464.90 × 146,194.69
  4. Step 4: Simplify right side
    209,819.99x = 42,318,231,321.38
  5. Step 5: Solve for x
    x = 42,318,231,321.38/209,819.99
  6. Step 6: Final answer
    x = 201,688.27

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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.