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Finding the Fourth Proportional to 180,676.64, 271,107.48 and 86,013.92

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Solution

The fourth proportional to 180,676.64, 271,107.48 and 86,013.92 is: 129,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,676.64 : 271,107.48 = 86,013.92 : x
  2. Step 2: Convert to fraction form
    180,676.64/271,107.48 = 86,013.92/x
  3. Step 3: Cross multiply
    180,676.64x = 271,107.48 × 86,013.92
  4. Step 4: Simplify right side
    180,676.64x = 23,319,017,096.12
  5. Step 5: Solve for x
    x = 23,319,017,096.12/180,676.64
  6. Step 6: Final answer
    x = 129,064.93

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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.