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Finding the Fourth Proportional to 116,711.60, 160,868.38 and 82,676.40

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Solution

The fourth proportional to 116,711.60, 160,868.38 and 82,676.40 is: 113,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,711.60 : 160,868.38 = 82,676.40 : x
  2. Step 2: Convert to fraction form
    116,711.60/160,868.38 = 82,676.40/x
  3. Step 3: Cross multiply
    116,711.60x = 160,868.38 × 82,676.40
  4. Step 4: Simplify right side
    116,711.60x = 13,300,018,532.23
  5. Step 5: Solve for x
    x = 13,300,018,532.23/116,711.60
  6. Step 6: Final answer
    x = 113,956.27

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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.