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Finding the Fourth Proportional to 142,857.35, 197,092.31 and 82,443.27

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Solution

The fourth proportional to 142,857.35, 197,092.31 and 82,443.27 is: 113,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,857.35 : 197,092.31 = 82,443.27 : x
  2. Step 2: Convert to fraction form
    142,857.35/197,092.31 = 82,443.27/x
  3. Step 3: Cross multiply
    142,857.35x = 197,092.31 × 82,443.27
  4. Step 4: Simplify right side
    142,857.35x = 16,248,934,116.04
  5. Step 5: Solve for x
    x = 16,248,934,116.04/142,857.35
  6. Step 6: Final answer
    x = 113,742.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.