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Finding the Fourth Proportional to 142,136.28, 196,086.42 and 81,693

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Solution

The fourth proportional to 142,136.28, 196,086.42 and 81,693 is: 112,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,136.28 : 196,086.42 = 81,693 : x
  2. Step 2: Convert to fraction form
    142,136.28/196,086.42 = 81,693/x
  3. Step 3: Cross multiply
    142,136.28x = 196,086.42 × 81,693
  4. Step 4: Simplify right side
    142,136.28x = 16,018,887,909.06
  5. Step 5: Solve for x
    x = 16,018,887,909.06/142,136.28
  6. Step 6: Final answer
    x = 112,700.91

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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.