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Finding the Fourth Proportional to 219,409.75, 329,114.67 and 53,197.75

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Solution

The fourth proportional to 219,409.75, 329,114.67 and 53,197.75 is: 79,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.75 : 329,114.67 = 53,197.75 : x
  2. Step 2: Convert to fraction form
    219,409.75/329,114.67 = 53,197.75/x
  3. Step 3: Cross multiply
    219,409.75x = 329,114.67 × 53,197.75
  4. Step 4: Simplify right side
    219,409.75x = 17,508,159,935.99
  5. Step 5: Solve for x
    x = 17,508,159,935.99/219,409.75
  6. Step 6: Final answer
    x = 79,796.64

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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.