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Finding the Fourth Proportional to 214,604.96, 321,904.16 and 72,550.02

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Solution

The fourth proportional to 214,604.96, 321,904.16 and 72,550.02 is: 108,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,604.96 : 321,904.16 = 72,550.02 : x
  2. Step 2: Convert to fraction form
    214,604.96/321,904.16 = 72,550.02/x
  3. Step 3: Cross multiply
    214,604.96x = 321,904.16 × 72,550.02
  4. Step 4: Simplify right side
    214,604.96x = 23,354,153,155.40
  5. Step 5: Solve for x
    x = 23,354,153,155.40/214,604.96
  6. Step 6: Final answer
    x = 108,823.92

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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.