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Finding the Fourth Proportional to 209,855.09, 289,600.07 and 114,361.80

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Solution

The fourth proportional to 209,855.09, 289,600.07 and 114,361.80 is: 157,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.09 : 289,600.07 = 114,361.80 : x
  2. Step 2: Convert to fraction form
    209,855.09/289,600.07 = 114,361.80/x
  3. Step 3: Cross multiply
    209,855.09x = 289,600.07 × 114,361.80
  4. Step 4: Simplify right side
    209,855.09x = 33,119,184,713.52
  5. Step 5: Solve for x
    x = 33,119,184,713.52/209,855.09
  6. Step 6: Final answer
    x = 157,819.31

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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.