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Finding the Fourth Proportional to 146,447.76, 202,098.04 and 79,379.76

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Solution

The fourth proportional to 146,447.76, 202,098.04 and 79,379.76 is: 109,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,447.76 : 202,098.04 = 79,379.76 : x
  2. Step 2: Convert to fraction form
    146,447.76/202,098.04 = 79,379.76/x
  3. Step 3: Cross multiply
    146,447.76x = 202,098.04 × 79,379.76
  4. Step 4: Simplify right side
    146,447.76x = 16,042,493,911.67
  5. Step 5: Solve for x
    x = 16,042,493,911.67/146,447.76
  6. Step 6: Final answer
    x = 109,544.14

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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.