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Finding the Fourth Proportional to 301,911.56, 416,638.30 and 165,945.50

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Solution

The fourth proportional to 301,911.56, 416,638.30 and 165,945.50 is: 229,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,911.56 : 416,638.30 = 165,945.50 : x
  2. Step 2: Convert to fraction form
    301,911.56/416,638.30 = 165,945.50/x
  3. Step 3: Cross multiply
    301,911.56x = 416,638.30 × 165,945.50
  4. Step 4: Simplify right side
    301,911.56x = 69,139,251,012.65
  5. Step 5: Solve for x
    x = 69,139,251,012.65/301,911.56
  6. Step 6: Final answer
    x = 229,004.98

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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.