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Finding the Fourth Proportional to 219,830.40, 329,745.60 and 113,542.20

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Solution

The fourth proportional to 219,830.40, 329,745.60 and 113,542.20 is: 170,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.40 : 329,745.60 = 113,542.20 : x
  2. Step 2: Convert to fraction form
    219,830.40/329,745.60 = 113,542.20/x
  3. Step 3: Cross multiply
    219,830.40x = 329,745.60 × 113,542.20
  4. Step 4: Simplify right side
    219,830.40x = 37,440,040,864.32
  5. Step 5: Solve for x
    x = 37,440,040,864.32/219,830.40
  6. Step 6: Final answer
    x = 170,313.30

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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.