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Finding the Fourth Proportional to 105,239.94, 145,231.63 and 57,494.09

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Solution

The fourth proportional to 105,239.94, 145,231.63 and 57,494.09 is: 79,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239.94 : 145,231.63 = 57,494.09 : x
  2. Step 2: Convert to fraction form
    105,239.94/145,231.63 = 57,494.09/x
  3. Step 3: Cross multiply
    105,239.94x = 145,231.63 × 57,494.09
  4. Step 4: Simplify right side
    105,239.94x = 8,349,960,406.07
  5. Step 5: Solve for x
    x = 8,349,960,406.07/105,239.94
  6. Step 6: Final answer
    x = 79,342.12

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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.