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Finding the Fourth Proportional to 208,850.80, 288,206.39 and 113,355.44

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Solution

The fourth proportional to 208,850.80, 288,206.39 and 113,355.44 is: 156,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,850.80 : 288,206.39 = 113,355.44 : x
  2. Step 2: Convert to fraction form
    208,850.80/288,206.39 = 113,355.44/x
  3. Step 3: Cross multiply
    208,850.80x = 288,206.39 × 113,355.44
  4. Step 4: Simplify right side
    208,850.80x = 32,669,763,153.17
  5. Step 5: Solve for x
    x = 32,669,763,153.17/208,850.80
  6. Step 6: Final answer
    x = 156,426.33

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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.