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Finding the Fourth Proportional to 301,001.88, 415,383.18 and 166,865.88

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Solution

The fourth proportional to 301,001.88, 415,383.18 and 166,865.88 is: 230,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,001.88 : 415,383.18 = 166,865.88 : x
  2. Step 2: Convert to fraction form
    301,001.88/415,383.18 = 166,865.88/x
  3. Step 3: Cross multiply
    301,001.88x = 415,383.18 × 166,865.88
  4. Step 4: Simplify right side
    301,001.88x = 69,313,279,867.90
  5. Step 5: Solve for x
    x = 69,313,279,867.90/301,001.88
  6. Step 6: Final answer
    x = 230,275.24

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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.