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Finding the Fourth Proportional to 141,855.32, 195,739.24 and 81,428.24

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Solution

The fourth proportional to 141,855.32, 195,739.24 and 81,428.24 is: 112,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,855.32 : 195,739.24 = 81,428.24 : x
  2. Step 2: Convert to fraction form
    141,855.32/195,739.24 = 81,428.24/x
  3. Step 3: Cross multiply
    141,855.32x = 195,739.24 × 81,428.24
  4. Step 4: Simplify right side
    141,855.32x = 15,938,701,812.14
  5. Step 5: Solve for x
    x = 15,938,701,812.14/141,855.32
  6. Step 6: Final answer
    x = 112,358.86

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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.