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Finding the Fourth Proportional to 109,458.68, 164,118.86 and 46,245.96

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Solution

The fourth proportional to 109,458.68, 164,118.86 and 46,245.96 is: 69,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,458.68 : 164,118.86 = 46,245.96 : x
  2. Step 2: Convert to fraction form
    109,458.68/164,118.86 = 46,245.96/x
  3. Step 3: Cross multiply
    109,458.68x = 164,118.86 × 46,245.96
  4. Step 4: Simplify right side
    109,458.68x = 7,589,834,234.81
  5. Step 5: Solve for x
    x = 7,589,834,234.81/109,458.68
  6. Step 6: Final answer
    x = 69,339.72

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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.