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Finding the Fourth Proportional to 209,486.98, 289,087.32 and 113,993.92

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Solution

The fourth proportional to 209,486.98, 289,087.32 and 113,993.92 is: 157,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.98 : 289,087.32 = 113,993.92 : x
  2. Step 2: Convert to fraction form
    209,486.98/289,087.32 = 113,993.92/x
  3. Step 3: Cross multiply
    209,486.98x = 289,087.32 × 113,993.92
  4. Step 4: Simplify right side
    209,486.98x = 32,954,196,829.09
  5. Step 5: Solve for x
    x = 32,954,196,829.09/209,486.98
  6. Step 6: Final answer
    x = 157,309.05

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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.