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Finding the Fourth Proportional to 209,489.58, 289,092.80 and 113,996.05

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Solution

The fourth proportional to 209,489.58, 289,092.80 and 113,996.05 is: 157,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,489.58 : 289,092.80 = 113,996.05 : x
  2. Step 2: Convert to fraction form
    209,489.58/289,092.80 = 113,996.05/x
  3. Step 3: Cross multiply
    209,489.58x = 289,092.80 × 113,996.05
  4. Step 4: Simplify right side
    209,489.58x = 32,955,436,845.70
  5. Step 5: Solve for x
    x = 32,955,436,845.70/209,489.58
  6. Step 6: Final answer
    x = 157,313.01

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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.