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Finding the Fourth Proportional to 209,191.80, 288,687.61 and 113,698.47

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Solution

The fourth proportional to 209,191.80, 288,687.61 and 113,698.47 is: 156,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,191.80 : 288,687.61 = 113,698.47 : x
  2. Step 2: Convert to fraction form
    209,191.80/288,687.61 = 113,698.47/x
  3. Step 3: Cross multiply
    209,191.80x = 288,687.61 × 113,698.47
  4. Step 4: Simplify right side
    209,191.80x = 32,823,339,564.96
  5. Step 5: Solve for x
    x = 32,823,339,564.96/209,191.80
  6. Step 6: Final answer
    x = 156,905.48

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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.