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Finding the Fourth Proportional to 220,704, 331,107.84 and 72,960

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Solution

The fourth proportional to 220,704, 331,107.84 and 72,960 is: 109,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,704 : 331,107.84 = 72,960 : x
  2. Step 2: Convert to fraction form
    220,704/331,107.84 = 72,960/x
  3. Step 3: Cross multiply
    220,704x = 331,107.84 × 72,960
  4. Step 4: Simplify right side
    220,704x = 24,157,628,006.40
  5. Step 5: Solve for x
    x = 24,157,628,006.40/220,704
  6. Step 6: Final answer
    x = 109,457.14

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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.