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Finding the Fourth Proportional to 219,563.34, 302,998.50 and 118,961.34

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Solution

The fourth proportional to 219,563.34, 302,998.50 and 118,961.34 is: 164,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563.34 : 302,998.50 = 118,961.34 : x
  2. Step 2: Convert to fraction form
    219,563.34/302,998.50 = 118,961.34/x
  3. Step 3: Cross multiply
    219,563.34x = 302,998.50 × 118,961.34
  4. Step 4: Simplify right side
    219,563.34x = 36,045,107,577.99
  5. Step 5: Solve for x
    x = 36,045,107,577.99/219,563.34
  6. Step 6: Final answer
    x = 164,167.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.