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Finding the Fourth Proportional to 222,568.90, 307,144.66 and 120,597.12

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Solution

The fourth proportional to 222,568.90, 307,144.66 and 120,597.12 is: 166,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,568.90 : 307,144.66 = 120,597.12 : x
  2. Step 2: Convert to fraction form
    222,568.90/307,144.66 = 120,597.12/x
  3. Step 3: Cross multiply
    222,568.90x = 307,144.66 × 120,597.12
  4. Step 4: Simplify right side
    222,568.90x = 37,040,761,419.38
  5. Step 5: Solve for x
    x = 37,040,761,419.38/222,568.90
  6. Step 6: Final answer
    x = 166,423.80

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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.