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Finding the Fourth Proportional to 100,996.86, 139,369.40 and 55,672.50

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Solution

The fourth proportional to 100,996.86, 139,369.40 and 55,672.50 is: 76,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996.86 : 139,369.40 = 55,672.50 : x
  2. Step 2: Convert to fraction form
    100,996.86/139,369.40 = 55,672.50/x
  3. Step 3: Cross multiply
    100,996.86x = 139,369.40 × 55,672.50
  4. Step 4: Simplify right side
    100,996.86x = 7,759,042,224.65
  5. Step 5: Solve for x
    x = 7,759,042,224.65/100,996.86
  6. Step 6: Final answer
    x = 76,824.59

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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.