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Finding the Fourth Proportional to 141,395.64, 195,120.96 and 77,733

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Solution

The fourth proportional to 141,395.64, 195,120.96 and 77,733 is: 107,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,395.64 : 195,120.96 = 77,733 : x
  2. Step 2: Convert to fraction form
    141,395.64/195,120.96 = 77,733/x
  3. Step 3: Cross multiply
    141,395.64x = 195,120.96 × 77,733
  4. Step 4: Simplify right side
    141,395.64x = 15,167,337,583.68
  5. Step 5: Solve for x
    x = 15,167,337,583.68/141,395.64
  6. Step 6: Final answer
    x = 107,268.78

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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.