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Finding the Fourth Proportional to 209,578.94, 289,218.97 and 114,086.35

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Solution

The fourth proportional to 209,578.94, 289,218.97 and 114,086.35 is: 157,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,578.94 : 289,218.97 = 114,086.35 : x
  2. Step 2: Convert to fraction form
    209,578.94/289,218.97 = 114,086.35/x
  3. Step 3: Cross multiply
    209,578.94x = 289,218.97 × 114,086.35
  4. Step 4: Simplify right side
    209,578.94x = 32,995,936,638.06
  5. Step 5: Solve for x
    x = 32,995,936,638.06/209,578.94
  6. Step 6: Final answer
    x = 157,439.18

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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.