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Finding the Fourth Proportional to 142,134.13, 196,142.17 and 81,703.22

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Solution

The fourth proportional to 142,134.13, 196,142.17 and 81,703.22 is: 112,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134.13 : 196,142.17 = 81,703.22 : x
  2. Step 2: Convert to fraction form
    142,134.13/196,142.17 = 81,703.22/x
  3. Step 3: Cross multiply
    142,134.13x = 196,142.17 × 81,703.22
  4. Step 4: Simplify right side
    142,134.13x = 16,025,446,866.79
  5. Step 5: Solve for x
    x = 16,025,446,866.79/142,134.13
  6. Step 6: Final answer
    x = 112,748.76

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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.