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Finding the Fourth Proportional to 188,046.96, 282,079.85 and 61,676.03

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Solution

The fourth proportional to 188,046.96, 282,079.85 and 61,676.03 is: 92,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,046.96 : 282,079.85 = 61,676.03 : x
  2. Step 2: Convert to fraction form
    188,046.96/282,079.85 = 61,676.03/x
  3. Step 3: Cross multiply
    188,046.96x = 282,079.85 × 61,676.03
  4. Step 4: Simplify right side
    188,046.96x = 17,397,563,572.22
  5. Step 5: Solve for x
    x = 17,397,563,572.22/188,046.96
  6. Step 6: Final answer
    x = 92,517.12

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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.