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Finding the Fourth Proportional to 222,843.29, 307,522.80 and 120,868.34

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Solution

The fourth proportional to 222,843.29, 307,522.80 and 120,868.34 is: 166,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,843.29 : 307,522.80 = 120,868.34 : x
  2. Step 2: Convert to fraction form
    222,843.29/307,522.80 = 120,868.34/x
  3. Step 3: Cross multiply
    222,843.29x = 307,522.80 × 120,868.34
  4. Step 4: Simplify right side
    222,843.29x = 37,169,768,810.54
  5. Step 5: Solve for x
    x = 37,169,768,810.54/222,843.29
  6. Step 6: Final answer
    x = 166,797.80

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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.