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Finding the Fourth Proportional to 217,343.28, 299,975.64 and 141,760.56

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Solution

The fourth proportional to 217,343.28, 299,975.64 and 141,760.56 is: 195,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,343.28 : 299,975.64 = 141,760.56 : x
  2. Step 2: Convert to fraction form
    217,343.28/299,975.64 = 141,760.56/x
  3. Step 3: Cross multiply
    217,343.28x = 299,975.64 × 141,760.56
  4. Step 4: Simplify right side
    217,343.28x = 42,524,714,712.76
  5. Step 5: Solve for x
    x = 42,524,714,712.76/217,343.28
  6. Step 6: Final answer
    x = 195,656.91

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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.