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Finding the Fourth Proportional to 209,191.97, 288,686.82 and 113,698.90

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Solution

The fourth proportional to 209,191.97, 288,686.82 and 113,698.90 is: 156,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,191.97 : 288,686.82 = 113,698.90 : x
  2. Step 2: Convert to fraction form
    209,191.97/288,686.82 = 113,698.90/x
  3. Step 3: Cross multiply
    209,191.97x = 288,686.82 × 113,698.90
  4. Step 4: Simplify right side
    209,191.97x = 32,823,374,665.73
  5. Step 5: Solve for x
    x = 32,823,374,665.73/209,191.97
  6. Step 6: Final answer
    x = 156,905.52

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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.