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Finding the Fourth Proportional to 105,171.09, 145,135.01 and 57,424.29

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Solution

The fourth proportional to 105,171.09, 145,135.01 and 57,424.29 is: 79,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,171.09 : 145,135.01 = 57,424.29 : x
  2. Step 2: Convert to fraction form
    105,171.09/145,135.01 = 57,424.29/x
  3. Step 3: Cross multiply
    105,171.09x = 145,135.01 × 57,424.29
  4. Step 4: Simplify right side
    105,171.09x = 8,334,274,616.27
  5. Step 5: Solve for x
    x = 8,334,274,616.27/105,171.09
  6. Step 6: Final answer
    x = 79,244.92

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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.