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Finding the Fourth Proportional to 271,772.01, 407,406.51 and 103,241.79

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Solution

The fourth proportional to 271,772.01, 407,406.51 and 103,241.79 is: 154,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,772.01 : 407,406.51 = 103,241.79 : x
  2. Step 2: Convert to fraction form
    271,772.01/407,406.51 = 103,241.79/x
  3. Step 3: Cross multiply
    271,772.01x = 407,406.51 × 103,241.79
  4. Step 4: Simplify right side
    271,772.01x = 42,061,377,350.05
  5. Step 5: Solve for x
    x = 42,061,377,350.05/271,772.01
  6. Step 6: Final answer
    x = 154,767.14

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Why These Related Problems?

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