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Finding the Fourth Proportional to 209,807.62, 289,644.21 and 163,768.54

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Solution

The fourth proportional to 209,807.62, 289,644.21 and 163,768.54 is: 226,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.62 : 289,644.21 = 163,768.54 : x
  2. Step 2: Convert to fraction form
    209,807.62/289,644.21 = 163,768.54/x
  3. Step 3: Cross multiply
    209,807.62x = 289,644.21 × 163,768.54
  4. Step 4: Simplify right side
    209,807.62x = 47,434,609,391.15
  5. Step 5: Solve for x
    x = 47,434,609,391.15/209,807.62
  6. Step 6: Final answer
    x = 226,086.21

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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.