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Finding the Fourth Proportional to 132,676.28, 183,077.82 and 78,978.68

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Solution

The fourth proportional to 132,676.28, 183,077.82 and 78,978.68 is: 108,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,676.28 : 183,077.82 = 78,978.68 : x
  2. Step 2: Convert to fraction form
    132,676.28/183,077.82 = 78,978.68/x
  3. Step 3: Cross multiply
    132,676.28x = 183,077.82 × 78,978.68
  4. Step 4: Simplify right side
    132,676.28x = 14,459,244,560.88
  5. Step 5: Solve for x
    x = 14,459,244,560.88/132,676.28
  6. Step 6: Final answer
    x = 108,981.38

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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.