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Finding the Fourth Proportional to 170,388.63, 235,176.38 and 105,906.57

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Solution

The fourth proportional to 170,388.63, 235,176.38 and 105,906.57 is: 146,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,388.63 : 235,176.38 = 105,906.57 : x
  2. Step 2: Convert to fraction form
    170,388.63/235,176.38 = 105,906.57/x
  3. Step 3: Cross multiply
    170,388.63x = 235,176.38 × 105,906.57
  4. Step 4: Simplify right side
    170,388.63x = 24,906,723,750.82
  5. Step 5: Solve for x
    x = 24,906,723,750.82/170,388.63
  6. Step 6: Final answer
    x = 146,175.97

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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.