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Finding the Fourth Proportional to 214,684.80, 321,977.98 and 96,389.97

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Solution

The fourth proportional to 214,684.80, 321,977.98 and 96,389.97 is: 144,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,684.80 : 321,977.98 = 96,389.97 : x
  2. Step 2: Convert to fraction form
    214,684.80/321,977.98 = 96,389.97/x
  3. Step 3: Cross multiply
    214,684.80x = 321,977.98 × 96,389.97
  4. Step 4: Simplify right side
    214,684.80x = 31,035,447,832.86
  5. Step 5: Solve for x
    x = 31,035,447,832.86/214,684.80
  6. Step 6: Final answer
    x = 144,562.86

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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.