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Finding the Fourth Proportional to 315,105.72, 434,842.20 and 171,866.96

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Solution

The fourth proportional to 315,105.72, 434,842.20 and 171,866.96 is: 237,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,105.72 : 434,842.20 = 171,866.96 : x
  2. Step 2: Convert to fraction form
    315,105.72/434,842.20 = 171,866.96/x
  3. Step 3: Cross multiply
    315,105.72x = 434,842.20 × 171,866.96
  4. Step 4: Simplify right side
    315,105.72x = 74,735,006,993.71
  5. Step 5: Solve for x
    x = 74,735,006,993.71/315,105.72
  6. Step 6: Final answer
    x = 237,174.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.