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Finding the Fourth Proportional to 95,081.64, 142,464.48 and 66,942.76

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Solution

The fourth proportional to 95,081.64, 142,464.48 and 66,942.76 is: 100,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,081.64 : 142,464.48 = 66,942.76 : x
  2. Step 2: Convert to fraction form
    95,081.64/142,464.48 = 66,942.76/x
  3. Step 3: Cross multiply
    95,081.64x = 142,464.48 × 66,942.76
  4. Step 4: Simplify right side
    95,081.64x = 9,536,965,493.16
  5. Step 5: Solve for x
    x = 9,536,965,493.16/95,081.64
  6. Step 6: Final answer
    x = 100,302.91

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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.