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Finding the Fourth Proportional to 100,506, 138,704.76 and 55,794

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Solution

The fourth proportional to 100,506, 138,704.76 and 55,794 is: 76,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506 : 138,704.76 = 55,794 : x
  2. Step 2: Convert to fraction form
    100,506/138,704.76 = 55,794/x
  3. Step 3: Cross multiply
    100,506x = 138,704.76 × 55,794
  4. Step 4: Simplify right side
    100,506x = 7,738,893,379.44
  5. Step 5: Solve for x
    x = 7,738,893,379.44/100,506
  6. Step 6: Final answer
    x = 76,999.32

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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.