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Finding the Fourth Proportional to 107,310.58, 160,969.26 and 51,156.82

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Solution

The fourth proportional to 107,310.58, 160,969.26 and 51,156.82 is: 76,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,310.58 : 160,969.26 = 51,156.82 : x
  2. Step 2: Convert to fraction form
    107,310.58/160,969.26 = 51,156.82/x
  3. Step 3: Cross multiply
    107,310.58x = 160,969.26 × 51,156.82
  4. Step 4: Simplify right side
    107,310.58x = 8,234,675,459.35
  5. Step 5: Solve for x
    x = 8,234,675,459.35/107,310.58
  6. Step 6: Final answer
    x = 76,736.85

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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.