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Finding the Fourth Proportional to 271,396.84, 407,090.40 and 111,438.04

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Solution

The fourth proportional to 271,396.84, 407,090.40 and 111,438.04 is: 167,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,396.84 : 407,090.40 = 111,438.04 : x
  2. Step 2: Convert to fraction form
    271,396.84/407,090.40 = 111,438.04/x
  3. Step 3: Cross multiply
    271,396.84x = 407,090.40 × 111,438.04
  4. Step 4: Simplify right side
    271,396.84x = 45,365,356,278.82
  5. Step 5: Solve for x
    x = 45,365,356,278.82/271,396.84
  6. Step 6: Final answer
    x = 167,155.06

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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.