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Finding the Fourth Proportional to 143,359.66, 214,905.10 and 48,523.48

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Solution

The fourth proportional to 143,359.66, 214,905.10 and 48,523.48 is: 72,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,359.66 : 214,905.10 = 48,523.48 : x
  2. Step 2: Convert to fraction form
    143,359.66/214,905.10 = 48,523.48/x
  3. Step 3: Cross multiply
    143,359.66x = 214,905.10 × 48,523.48
  4. Step 4: Simplify right side
    143,359.66x = 10,427,943,321.75
  5. Step 5: Solve for x
    x = 10,427,943,321.75/143,359.66
  6. Step 6: Final answer
    x = 72,739.73

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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.