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Finding the Fourth Proportional to 170,095.38, 234,731.41 and 105,540.61

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Solution

The fourth proportional to 170,095.38, 234,731.41 and 105,540.61 is: 145,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,095.38 : 234,731.41 = 105,540.61 : x
  2. Step 2: Convert to fraction form
    170,095.38/234,731.41 = 105,540.61/x
  3. Step 3: Cross multiply
    170,095.38x = 234,731.41 × 105,540.61
  4. Step 4: Simplify right side
    170,095.38x = 24,773,696,197.56
  5. Step 5: Solve for x
    x = 24,773,696,197.56/170,095.38
  6. Step 6: Final answer
    x = 145,645.91

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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.