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Finding the Fourth Proportional to 209,188.37, 288,680.36 and 113,694.84

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Solution

The fourth proportional to 209,188.37, 288,680.36 and 113,694.84 is: 156,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,188.37 : 288,680.36 = 113,694.84 : x
  2. Step 2: Convert to fraction form
    209,188.37/288,680.36 = 113,694.84/x
  3. Step 3: Cross multiply
    209,188.37x = 288,680.36 × 113,694.84
  4. Step 4: Simplify right side
    209,188.37x = 32,821,466,772.87
  5. Step 5: Solve for x
    x = 32,821,466,772.87/209,188.37
  6. Step 6: Final answer
    x = 156,899.10

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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.