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Finding the Fourth Proportional to 129,772.72, 194,639.64 and 107,727.76

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Solution

The fourth proportional to 129,772.72, 194,639.64 and 107,727.76 is: 161,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,772.72 : 194,639.64 = 107,727.76 : x
  2. Step 2: Convert to fraction form
    129,772.72/194,639.64 = 107,727.76/x
  3. Step 3: Cross multiply
    129,772.72x = 194,639.64 × 107,727.76
  4. Step 4: Simplify right side
    129,772.72x = 20,968,092,424.41
  5. Step 5: Solve for x
    x = 20,968,092,424.41/129,772.72
  6. Step 6: Final answer
    x = 161,575.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.