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Finding the Fourth Proportional to 214,452.70, 295,958.28 and 123,825.40

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Solution

The fourth proportional to 214,452.70, 295,958.28 and 123,825.40 is: 170,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,452.70 : 295,958.28 = 123,825.40 : x
  2. Step 2: Convert to fraction form
    214,452.70/295,958.28 = 123,825.40/x
  3. Step 3: Cross multiply
    214,452.70x = 295,958.28 × 123,825.40
  4. Step 4: Simplify right side
    214,452.70x = 36,647,152,404.31
  5. Step 5: Solve for x
    x = 36,647,152,404.31/214,452.70
  6. Step 6: Final answer
    x = 170,886.88

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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.