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Finding the Fourth Proportional to 107,296.53, 160,927.37 and 44,103.86

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Solution

The fourth proportional to 107,296.53, 160,927.37 and 44,103.86 is: 66,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296.53 : 160,927.37 = 44,103.86 : x
  2. Step 2: Convert to fraction form
    107,296.53/160,927.37 = 44,103.86/x
  3. Step 3: Cross multiply
    107,296.53x = 160,927.37 × 44,103.86
  4. Step 4: Simplify right side
    107,296.53x = 7,097,517,171.49
  5. Step 5: Solve for x
    x = 7,097,517,171.49/107,296.53
  6. Step 6: Final answer
    x = 66,148.62

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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.