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Finding the Fourth Proportional to 143,197.80, 214,780.24 and 38,025

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Solution

The fourth proportional to 143,197.80, 214,780.24 and 38,025 is: 57,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,197.80 : 214,780.24 = 38,025 : x
  2. Step 2: Convert to fraction form
    143,197.80/214,780.24 = 38,025/x
  3. Step 3: Cross multiply
    143,197.80x = 214,780.24 × 38,025
  4. Step 4: Simplify right side
    143,197.80x = 8,167,018,626
  5. Step 5: Solve for x
    x = 8,167,018,626/143,197.80
  6. Step 6: Final answer
    x = 57,033.13

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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.