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Finding the Fourth Proportional to 219,105.71, 327,793.82 and 165,950.84

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Solution

The fourth proportional to 219,105.71, 327,793.82 and 165,950.84 is: 248,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105.71 : 327,793.82 = 165,950.84 : x
  2. Step 2: Convert to fraction form
    219,105.71/327,793.82 = 165,950.84/x
  3. Step 3: Cross multiply
    219,105.71x = 327,793.82 × 165,950.84
  4. Step 4: Simplify right side
    219,105.71x = 54,397,657,307.09
  5. Step 5: Solve for x
    x = 54,397,657,307.09/219,105.71
  6. Step 6: Final answer
    x = 248,271.30

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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.