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Finding the Fourth Proportional to 219,911.70, 329,608.35 and 164,442.90

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Solution

The fourth proportional to 219,911.70, 329,608.35 and 164,442.90 is: 246,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911.70 : 329,608.35 = 164,442.90 : x
  2. Step 2: Convert to fraction form
    219,911.70/329,608.35 = 164,442.90/x
  3. Step 3: Cross multiply
    219,911.70x = 329,608.35 × 164,442.90
  4. Step 4: Simplify right side
    219,911.70x = 54,201,752,938.22
  5. Step 5: Solve for x
    x = 54,201,752,938.22/219,911.70
  6. Step 6: Final answer
    x = 246,470.53

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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.