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Finding the Fourth Proportional to 219,809.02, 329,473.01 and 113,199.44

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Solution

The fourth proportional to 219,809.02, 329,473.01 and 113,199.44 is: 169,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,809.02 : 329,473.01 = 113,199.44 : x
  2. Step 2: Convert to fraction form
    219,809.02/329,473.01 = 113,199.44/x
  3. Step 3: Cross multiply
    219,809.02x = 329,473.01 × 113,199.44
  4. Step 4: Simplify right side
    219,809.02x = 37,296,160,227.11
  5. Step 5: Solve for x
    x = 37,296,160,227.11/219,809.02
  6. Step 6: Final answer
    x = 169,675.29

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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.