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Finding the Fourth Proportional to 105,518.57, 145,614.67 and 57,120.26

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Solution

The fourth proportional to 105,518.57, 145,614.67 and 57,120.26 is: 78,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,518.57 : 145,614.67 = 57,120.26 : x
  2. Step 2: Convert to fraction form
    105,518.57/145,614.67 = 57,120.26/x
  3. Step 3: Cross multiply
    105,518.57x = 145,614.67 × 57,120.26
  4. Step 4: Simplify right side
    105,518.57x = 8,317,546,939.34
  5. Step 5: Solve for x
    x = 8,317,546,939.34/105,518.57
  6. Step 6: Final answer
    x = 78,825.44

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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.