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Finding the Fourth Proportional to 182,405.67, 251,722.31 and 100,739.42

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Solution

The fourth proportional to 182,405.67, 251,722.31 and 100,739.42 is: 139,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,405.67 : 251,722.31 = 100,739.42 : x
  2. Step 2: Convert to fraction form
    182,405.67/251,722.31 = 100,739.42/x
  3. Step 3: Cross multiply
    182,405.67x = 251,722.31 × 100,739.42
  4. Step 4: Simplify right side
    182,405.67x = 25,358,359,683.41
  5. Step 5: Solve for x
    x = 25,358,359,683.41/182,405.67
  6. Step 6: Final answer
    x = 139,021.77

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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.