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Finding the Fourth Proportional to 219,443.44, 329,165.29 and 53,231.44

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Solution

The fourth proportional to 219,443.44, 329,165.29 and 53,231.44 is: 79,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,443.44 : 329,165.29 = 53,231.44 : x
  2. Step 2: Convert to fraction form
    219,443.44/329,165.29 = 53,231.44/x
  3. Step 3: Cross multiply
    219,443.44x = 329,165.29 × 53,231.44
  4. Step 4: Simplify right side
    219,443.44x = 17,521,941,628.34
  5. Step 5: Solve for x
    x = 17,521,941,628.34/219,443.44
  6. Step 6: Final answer
    x = 79,847.19

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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.