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Finding the Fourth Proportional to 142,238.31, 196,294.50 and 81,808.88

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Solution

The fourth proportional to 142,238.31, 196,294.50 and 81,808.88 is: 112,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.31 : 196,294.50 = 81,808.88 : x
  2. Step 2: Convert to fraction form
    142,238.31/196,294.50 = 81,808.88/x
  3. Step 3: Cross multiply
    142,238.31x = 196,294.50 × 81,808.88
  4. Step 4: Simplify right side
    142,238.31x = 16,058,633,195.16
  5. Step 5: Solve for x
    x = 16,058,633,195.16/142,238.31
  6. Step 6: Final answer
    x = 112,899.49

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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.