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Finding the Fourth Proportional to 411,251.96, 616,890.09 and 111,730.97

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Solution

The fourth proportional to 411,251.96, 616,890.09 and 111,730.97 is: 167,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,251.96 : 616,890.09 = 111,730.97 : x
  2. Step 2: Convert to fraction form
    411,251.96/616,890.09 = 111,730.97/x
  3. Step 3: Cross multiply
    411,251.96x = 616,890.09 × 111,730.97
  4. Step 4: Simplify right side
    411,251.96x = 68,925,728,139.09
  5. Step 5: Solve for x
    x = 68,925,728,139.09/411,251.96
  6. Step 6: Final answer
    x = 167,599.76

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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.