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Finding the Fourth Proportional to 102,058.96, 140,843.70 and 56,735.20

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Solution

The fourth proportional to 102,058.96, 140,843.70 and 56,735.20 is: 78,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,058.96 : 140,843.70 = 56,735.20 : x
  2. Step 2: Convert to fraction form
    102,058.96/140,843.70 = 56,735.20/x
  3. Step 3: Cross multiply
    102,058.96x = 140,843.70 × 56,735.20
  4. Step 4: Simplify right side
    102,058.96x = 7,990,795,488.24
  5. Step 5: Solve for x
    x = 7,990,795,488.24/102,058.96
  6. Step 6: Final answer
    x = 78,295.87

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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.