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Finding the Fourth Proportional to 219,693.40, 329,520.90 and 71,949.40

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Solution

The fourth proportional to 219,693.40, 329,520.90 and 71,949.40 is: 107,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,693.40 : 329,520.90 = 71,949.40 : x
  2. Step 2: Convert to fraction form
    219,693.40/329,520.90 = 71,949.40/x
  3. Step 3: Cross multiply
    219,693.40x = 329,520.90 × 71,949.40
  4. Step 4: Simplify right side
    219,693.40x = 23,708,831,042.46
  5. Step 5: Solve for x
    x = 23,708,831,042.46/219,693.40
  6. Step 6: Final answer
    x = 107,917.81

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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.