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Finding the Fourth Proportional to 142,145.51, 196,160.72 and 81,727.97

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Solution

The fourth proportional to 142,145.51, 196,160.72 and 81,727.97 is: 112,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145.51 : 196,160.72 = 81,727.97 : x
  2. Step 2: Convert to fraction form
    142,145.51/196,160.72 = 81,727.97/x
  3. Step 3: Cross multiply
    142,145.51x = 196,160.72 × 81,727.97
  4. Step 4: Simplify right side
    142,145.51x = 16,031,816,049.90
  5. Step 5: Solve for x
    x = 16,031,816,049.90/142,145.51
  6. Step 6: Final answer
    x = 112,784.54

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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.