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Finding the Fourth Proportional to 76,198.05, 105,145.29 and 42,205.62

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Solution

The fourth proportional to 76,198.05, 105,145.29 and 42,205.62 is: 58,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198.05 : 105,145.29 = 42,205.62 : x
  2. Step 2: Convert to fraction form
    76,198.05/105,145.29 = 42,205.62/x
  3. Step 3: Cross multiply
    76,198.05x = 105,145.29 × 42,205.62
  4. Step 4: Simplify right side
    76,198.05x = 4,437,722,548.82
  5. Step 5: Solve for x
    x = 4,437,722,548.82/76,198.05
  6. Step 6: Final answer
    x = 58,239.32

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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.