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Finding the Fourth Proportional to 138,601.82, 207,905.97 and 45,114.86

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Solution

The fourth proportional to 138,601.82, 207,905.97 and 45,114.86 is: 67,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.82 : 207,905.97 = 45,114.86 : x
  2. Step 2: Convert to fraction form
    138,601.82/207,905.97 = 45,114.86/x
  3. Step 3: Cross multiply
    138,601.82x = 207,905.97 × 45,114.86
  4. Step 4: Simplify right side
    138,601.82x = 9,379,648,729.71
  5. Step 5: Solve for x
    x = 9,379,648,729.71/138,601.82
  6. Step 6: Final answer
    x = 67,673.34

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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.