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Finding the Fourth Proportional to 141,405.12, 195,142.72 and 77,744.48

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Solution

The fourth proportional to 141,405.12, 195,142.72 and 77,744.48 is: 107,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,405.12 : 195,142.72 = 77,744.48 : x
  2. Step 2: Convert to fraction form
    141,405.12/195,142.72 = 77,744.48/x
  3. Step 3: Cross multiply
    141,405.12x = 195,142.72 × 77,744.48
  4. Step 4: Simplify right side
    141,405.12x = 15,171,269,292.19
  5. Step 5: Solve for x
    x = 15,171,269,292.19/141,405.12
  6. Step 6: Final answer
    x = 107,289.39

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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.