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Finding the Fourth Proportional to 164,659.30, 247,383.01 and 105,610.30

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Solution

The fourth proportional to 164,659.30, 247,383.01 and 105,610.30 is: 158,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,659.30 : 247,383.01 = 105,610.30 : x
  2. Step 2: Convert to fraction form
    164,659.30/247,383.01 = 105,610.30/x
  3. Step 3: Cross multiply
    164,659.30x = 247,383.01 × 105,610.30
  4. Step 4: Simplify right side
    164,659.30x = 26,126,193,414.56
  5. Step 5: Solve for x
    x = 26,126,193,414.56/164,659.30
  6. Step 6: Final answer
    x = 158,668.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.