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Finding the Fourth Proportional to 214,434, 295,919.16 and 125,027.28

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Solution

The fourth proportional to 214,434, 295,919.16 and 125,027.28 is: 172,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,434 : 295,919.16 = 125,027.28 : x
  2. Step 2: Convert to fraction form
    214,434/295,919.16 = 125,027.28/x
  3. Step 3: Cross multiply
    214,434x = 295,919.16 × 125,027.28
  4. Step 4: Simplify right side
    214,434x = 36,997,967,674.68
  5. Step 5: Solve for x
    x = 36,997,967,674.68/214,434
  6. Step 6: Final answer
    x = 172,537.79

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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.