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Finding the Fourth Proportional to 214,683.80, 321,976.49 and 96,388.97

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Solution

The fourth proportional to 214,683.80, 321,976.49 and 96,388.97 is: 144,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,683.80 : 321,976.49 = 96,388.97 : x
  2. Step 2: Convert to fraction form
    214,683.80/321,976.49 = 96,388.97/x
  3. Step 3: Cross multiply
    214,683.80x = 321,976.49 × 96,388.97
  4. Step 4: Simplify right side
    214,683.80x = 31,034,980,143.49
  5. Step 5: Solve for x
    x = 31,034,980,143.49/214,683.80
  6. Step 6: Final answer
    x = 144,561.35

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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.