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Finding the Fourth Proportional to 208,794.82, 288,069.84 and 116,900.56

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Solution

The fourth proportional to 208,794.82, 288,069.84 and 116,900.56 is: 161,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,794.82 : 288,069.84 = 116,900.56 : x
  2. Step 2: Convert to fraction form
    208,794.82/288,069.84 = 116,900.56/x
  3. Step 3: Cross multiply
    208,794.82x = 288,069.84 × 116,900.56
  4. Step 4: Simplify right side
    208,794.82x = 33,675,525,615.11
  5. Step 5: Solve for x
    x = 33,675,525,615.11/208,794.82
  6. Step 6: Final answer
    x = 161,285.25

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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.