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Finding the Fourth Proportional to 209,517.77, 289,128.97 and 114,022.41

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Solution

The fourth proportional to 209,517.77, 289,128.97 and 114,022.41 is: 157,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,517.77 : 289,128.97 = 114,022.41 : x
  2. Step 2: Convert to fraction form
    209,517.77/289,128.97 = 114,022.41/x
  3. Step 3: Cross multiply
    209,517.77x = 289,128.97 × 114,022.41
  4. Step 4: Simplify right side
    209,517.77x = 32,967,181,960.22
  5. Step 5: Solve for x
    x = 32,967,181,960.22/209,517.77
  6. Step 6: Final answer
    x = 157,347.90

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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.