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Finding the Fourth Proportional to 143,301.14, 214,983.90 and 48,525.87

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Solution

The fourth proportional to 143,301.14, 214,983.90 and 48,525.87 is: 72,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,301.14 : 214,983.90 = 48,525.87 : x
  2. Step 2: Convert to fraction form
    143,301.14/214,983.90 = 48,525.87/x
  3. Step 3: Cross multiply
    143,301.14x = 214,983.90 × 48,525.87
  4. Step 4: Simplify right side
    143,301.14x = 10,432,280,783.49
  5. Step 5: Solve for x
    x = 10,432,280,783.49/143,301.14
  6. Step 6: Final answer
    x = 72,799.71

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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.