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Finding the Fourth Proportional to 142,215.20, 196,256.49 and 81,782.99

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Solution

The fourth proportional to 142,215.20, 196,256.49 and 81,782.99 is: 112,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,215.20 : 196,256.49 = 81,782.99 : x
  2. Step 2: Convert to fraction form
    142,215.20/196,256.49 = 81,782.99/x
  3. Step 3: Cross multiply
    142,215.20x = 196,256.49 × 81,782.99
  4. Step 4: Simplify right side
    142,215.20x = 16,050,442,559.11
  5. Step 5: Solve for x
    x = 16,050,442,559.11/142,215.20
  6. Step 6: Final answer
    x = 112,860.25

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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.