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Finding the Fourth Proportional to 105,436.69, 145,505.77 and 57,693.26

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Solution

The fourth proportional to 105,436.69, 145,505.77 and 57,693.26 is: 79,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,436.69 : 145,505.77 = 57,693.26 : x
  2. Step 2: Convert to fraction form
    105,436.69/145,505.77 = 57,693.26/x
  3. Step 3: Cross multiply
    105,436.69x = 145,505.77 × 57,693.26
  4. Step 4: Simplify right side
    105,436.69x = 8,394,702,439.64
  5. Step 5: Solve for x
    x = 8,394,702,439.64/105,436.69
  6. Step 6: Final answer
    x = 79,618.42

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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.