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Finding the Fourth Proportional to 132,379.76, 182,688.10 and 81,422.40

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Solution

The fourth proportional to 132,379.76, 182,688.10 and 81,422.40 is: 112,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,379.76 : 182,688.10 = 81,422.40 : x
  2. Step 2: Convert to fraction form
    132,379.76/182,688.10 = 81,422.40/x
  3. Step 3: Cross multiply
    132,379.76x = 182,688.10 × 81,422.40
  4. Step 4: Simplify right side
    132,379.76x = 14,874,903,553.44
  5. Step 5: Solve for x
    x = 14,874,903,553.44/132,379.76
  6. Step 6: Final answer
    x = 112,365.39

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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.