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Finding the Fourth Proportional to 143,092.38, 214,638.39 and 54,345.72

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Solution

The fourth proportional to 143,092.38, 214,638.39 and 54,345.72 is: 81,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,092.38 : 214,638.39 = 54,345.72 : x
  2. Step 2: Convert to fraction form
    143,092.38/214,638.39 = 54,345.72/x
  3. Step 3: Cross multiply
    143,092.38x = 214,638.39 × 54,345.72
  4. Step 4: Simplify right side
    143,092.38x = 11,664,677,844.19
  5. Step 5: Solve for x
    x = 11,664,677,844.19/143,092.38
  6. Step 6: Final answer
    x = 81,518.51

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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.