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Finding the Fourth Proportional to 95,312.94, 142,743.98 and 82,764.77

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Solution

The fourth proportional to 95,312.94, 142,743.98 and 82,764.77 is: 123,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,312.94 : 142,743.98 = 82,764.77 : x
  2. Step 2: Convert to fraction form
    95,312.94/142,743.98 = 82,764.77/x
  3. Step 3: Cross multiply
    95,312.94x = 142,743.98 × 82,764.77
  4. Step 4: Simplify right side
    95,312.94x = 11,814,171,546.04
  5. Step 5: Solve for x
    x = 11,814,171,546.04/95,312.94
  6. Step 6: Final answer
    x = 123,951.39

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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.