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Finding the Fourth Proportional to 96,200.30, 132,756.03 and 53,758.82

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Solution

The fourth proportional to 96,200.30, 132,756.03 and 53,758.82 is: 74,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,200.30 : 132,756.03 = 53,758.82 : x
  2. Step 2: Convert to fraction form
    96,200.30/132,756.03 = 53,758.82/x
  3. Step 3: Cross multiply
    96,200.30x = 132,756.03 × 53,758.82
  4. Step 4: Simplify right side
    96,200.30x = 7,136,807,520.68
  5. Step 5: Solve for x
    x = 7,136,807,520.68/96,200.30
  6. Step 6: Final answer
    x = 74,186.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.