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Finding the Fourth Proportional to 107,152.88, 160,371.09 and 105,736.73

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Solution

The fourth proportional to 107,152.88, 160,371.09 and 105,736.73 is: 158,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152.88 : 160,371.09 = 105,736.73 : x
  2. Step 2: Convert to fraction form
    107,152.88/160,371.09 = 105,736.73/x
  3. Step 3: Cross multiply
    107,152.88x = 160,371.09 × 105,736.73
  4. Step 4: Simplify right side
    107,152.88x = 16,957,113,841.28
  5. Step 5: Solve for x
    x = 16,957,113,841.28/107,152.88
  6. Step 6: Final answer
    x = 158,251.60

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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.