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Finding the Fourth Proportional to 120,573.74, 166,357.82 and 95,000.82

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Solution

The fourth proportional to 120,573.74, 166,357.82 and 95,000.82 is: 131,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,573.74 : 166,357.82 = 95,000.82 : x
  2. Step 2: Convert to fraction form
    120,573.74/166,357.82 = 95,000.82/x
  3. Step 3: Cross multiply
    120,573.74x = 166,357.82 × 95,000.82
  4. Step 4: Simplify right side
    120,573.74x = 15,804,129,313.41
  5. Step 5: Solve for x
    x = 15,804,129,313.41/120,573.74
  6. Step 6: Final answer
    x = 131,074.39

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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.