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Finding the Fourth Proportional to 220,495.96, 330,742.70 and 80,254.58

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Solution

The fourth proportional to 220,495.96, 330,742.70 and 80,254.58 is: 120,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,495.96 : 330,742.70 = 80,254.58 : x
  2. Step 2: Convert to fraction form
    220,495.96/330,742.70 = 80,254.58/x
  3. Step 3: Cross multiply
    220,495.96x = 330,742.70 × 80,254.58
  4. Step 4: Simplify right side
    220,495.96x = 26,543,616,476.57
  5. Step 5: Solve for x
    x = 26,543,616,476.57/220,495.96
  6. Step 6: Final answer
    x = 120,381.42

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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.