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Finding the Fourth Proportional to 209,597.25, 289,244.21 and 114,098.25

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Solution

The fourth proportional to 209,597.25, 289,244.21 and 114,098.25 is: 157,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597.25 : 289,244.21 = 114,098.25 : x
  2. Step 2: Convert to fraction form
    209,597.25/289,244.21 = 114,098.25/x
  3. Step 3: Cross multiply
    209,597.25x = 289,244.21 × 114,098.25
  4. Step 4: Simplify right side
    209,597.25x = 33,002,258,183.63
  5. Step 5: Solve for x
    x = 33,002,258,183.63/209,597.25
  6. Step 6: Final answer
    x = 157,455.59

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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.