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Finding the Fourth Proportional to 219,527.89, 329,286.57 and 101,199.18

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Solution

The fourth proportional to 219,527.89, 329,286.57 and 101,199.18 is: 151,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,527.89 : 329,286.57 = 101,199.18 : x
  2. Step 2: Convert to fraction form
    219,527.89/329,286.57 = 101,199.18/x
  3. Step 3: Cross multiply
    219,527.89x = 329,286.57 × 101,199.18
  4. Step 4: Simplify right side
    219,527.89x = 33,323,530,869.01
  5. Step 5: Solve for x
    x = 33,323,530,869.01/219,527.89
  6. Step 6: Final answer
    x = 151,796.34

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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.