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Finding the Fourth Proportional to 82,992.10, 124,305.26 and 68,597.14

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Solution

The fourth proportional to 82,992.10, 124,305.26 and 68,597.14 is: 102,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992.10 : 124,305.26 = 68,597.14 : x
  2. Step 2: Convert to fraction form
    82,992.10/124,305.26 = 68,597.14/x
  3. Step 3: Cross multiply
    82,992.10x = 124,305.26 × 68,597.14
  4. Step 4: Simplify right side
    82,992.10x = 8,526,985,322.96
  5. Step 5: Solve for x
    x = 8,526,985,322.96/82,992.10
  6. Step 6: Final answer
    x = 102,744.54

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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.