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Finding the Fourth Proportional to 219,403, 329,104.50 and 53,191

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Solution

The fourth proportional to 219,403, 329,104.50 and 53,191 is: 79,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,403 : 329,104.50 = 53,191 : x
  2. Step 2: Convert to fraction form
    219,403/329,104.50 = 53,191/x
  3. Step 3: Cross multiply
    219,403x = 329,104.50 × 53,191
  4. Step 4: Simplify right side
    219,403x = 17,505,397,459.50
  5. Step 5: Solve for x
    x = 17,505,397,459.50/219,403
  6. Step 6: Final answer
    x = 79,786.50

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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.