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Finding the Fourth Proportional to 214,222.44, 295,615.58 and 123,573

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Solution

The fourth proportional to 214,222.44, 295,615.58 and 123,573 is: 170,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,222.44 : 295,615.58 = 123,573 : x
  2. Step 2: Convert to fraction form
    214,222.44/295,615.58 = 123,573/x
  3. Step 3: Cross multiply
    214,222.44x = 295,615.58 × 123,573
  4. Step 4: Simplify right side
    214,222.44x = 36,530,104,067.34
  5. Step 5: Solve for x
    x = 36,530,104,067.34/214,222.44
  6. Step 6: Final answer
    x = 170,524.17

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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.