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Finding the Fourth Proportional to 132,379.56, 182,710.38 and 78,654.24

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Solution

The fourth proportional to 132,379.56, 182,710.38 and 78,654.24 is: 108,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,379.56 : 182,710.38 = 78,654.24 : x
  2. Step 2: Convert to fraction form
    132,379.56/182,710.38 = 78,654.24/x
  3. Step 3: Cross multiply
    132,379.56x = 182,710.38 × 78,654.24
  4. Step 4: Simplify right side
    132,379.56x = 14,370,946,079.01
  5. Step 5: Solve for x
    x = 14,370,946,079.01/132,379.56
  6. Step 6: Final answer
    x = 108,558.65

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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.