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Finding the Fourth Proportional to 209,770.20, 289,483.20 and 114,274.44

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Solution

The fourth proportional to 209,770.20, 289,483.20 and 114,274.44 is: 157,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.20 : 289,483.20 = 114,274.44 : x
  2. Step 2: Convert to fraction form
    209,770.20/289,483.20 = 114,274.44/x
  3. Step 3: Cross multiply
    209,770.20x = 289,483.20 × 114,274.44
  4. Step 4: Simplify right side
    209,770.20x = 33,080,530,569.41
  5. Step 5: Solve for x
    x = 33,080,530,569.41/209,770.20
  6. Step 6: Final answer
    x = 157,698.90

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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.