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Finding the Fourth Proportional to 271,451.66, 407,177.49 and 147,035.66

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Solution

The fourth proportional to 271,451.66, 407,177.49 and 147,035.66 is: 220,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,451.66 : 407,177.49 = 147,035.66 : x
  2. Step 2: Convert to fraction form
    271,451.66/407,177.49 = 147,035.66/x
  3. Step 3: Cross multiply
    271,451.66x = 407,177.49 × 147,035.66
  4. Step 4: Simplify right side
    271,451.66x = 59,869,610,979.29
  5. Step 5: Solve for x
    x = 59,869,610,979.29/271,451.66
  6. Step 6: Final answer
    x = 220,553.49

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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.