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Finding the Fourth Proportional to 214,470.48, 321,601.72 and 64,683.12

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Solution

The fourth proportional to 214,470.48, 321,601.72 and 64,683.12 is: 96,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,470.48 : 321,601.72 = 64,683.12 : x
  2. Step 2: Convert to fraction form
    214,470.48/321,601.72 = 64,683.12/x
  3. Step 3: Cross multiply
    214,470.48x = 321,601.72 × 64,683.12
  4. Step 4: Simplify right side
    214,470.48x = 20,802,202,646.97
  5. Step 5: Solve for x
    x = 20,802,202,646.97/214,470.48
  6. Step 6: Final answer
    x = 96,993.31

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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.