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Finding the Fourth Proportional to 209,404.84, 289,085.70 and 161,550.76

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Solution

The fourth proportional to 209,404.84, 289,085.70 and 161,550.76 is: 223,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,404.84 : 289,085.70 = 161,550.76 : x
  2. Step 2: Convert to fraction form
    209,404.84/289,085.70 = 161,550.76/x
  3. Step 3: Cross multiply
    209,404.84x = 289,085.70 × 161,550.76
  4. Step 4: Simplify right side
    209,404.84x = 46,702,014,540.13
  5. Step 5: Solve for x
    x = 46,702,014,540.13/209,404.84
  6. Step 6: Final answer
    x = 223,022.61

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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.