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Finding the Fourth Proportional to 219,771.80, 329,657.70 and 204,025.40

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Solution

The fourth proportional to 219,771.80, 329,657.70 and 204,025.40 is: 306,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,771.80 : 329,657.70 = 204,025.40 : x
  2. Step 2: Convert to fraction form
    219,771.80/329,657.70 = 204,025.40/x
  3. Step 3: Cross multiply
    219,771.80x = 329,657.70 × 204,025.40
  4. Step 4: Simplify right side
    219,771.80x = 67,258,544,105.58
  5. Step 5: Solve for x
    x = 67,258,544,105.58/219,771.80
  6. Step 6: Final answer
    x = 306,038.10

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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.