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Finding the Fourth Proportional to 219,706.56, 329,543.10 and 69,951.60

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Solution

The fourth proportional to 219,706.56, 329,543.10 and 69,951.60 is: 104,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,706.56 : 329,543.10 = 69,951.60 : x
  2. Step 2: Convert to fraction form
    219,706.56/329,543.10 = 69,951.60/x
  3. Step 3: Cross multiply
    219,706.56x = 329,543.10 × 69,951.60
  4. Step 4: Simplify right side
    219,706.56x = 23,052,067,113.96
  5. Step 5: Solve for x
    x = 23,052,067,113.96/219,706.56
  6. Step 6: Final answer
    x = 104,922.07

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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.