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Finding the Fourth Proportional to 214,053.26, 321,083.06 and 101,745.05

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Solution

The fourth proportional to 214,053.26, 321,083.06 and 101,745.05 is: 152,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,053.26 : 321,083.06 = 101,745.05 : x
  2. Step 2: Convert to fraction form
    214,053.26/321,083.06 = 101,745.05/x
  3. Step 3: Cross multiply
    214,053.26x = 321,083.06 × 101,745.05
  4. Step 4: Simplify right side
    214,053.26x = 32,668,609,879.71
  5. Step 5: Solve for x
    x = 32,668,609,879.71/214,053.26
  6. Step 6: Final answer
    x = 152,619.08

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