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Finding the Fourth Proportional to 307,705.26, 461,764.05 and 108,026.24

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Solution

The fourth proportional to 307,705.26, 461,764.05 and 108,026.24 is: 162,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,705.26 : 461,764.05 = 108,026.24 : x
  2. Step 2: Convert to fraction form
    307,705.26/461,764.05 = 108,026.24/x
  3. Step 3: Cross multiply
    307,705.26x = 461,764.05 × 108,026.24
  4. Step 4: Simplify right side
    307,705.26x = 49,882,631,779.85
  5. Step 5: Solve for x
    x = 49,882,631,779.85/307,705.26
  6. Step 6: Final answer
    x = 162,111.73

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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.