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Finding the Fourth Proportional to 271,563.52, 407,340.80 and 111,607.04

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Solution

The fourth proportional to 271,563.52, 407,340.80 and 111,607.04 is: 167,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,563.52 : 407,340.80 = 111,607.04 : x
  2. Step 2: Convert to fraction form
    271,563.52/407,340.80 = 111,607.04/x
  3. Step 3: Cross multiply
    271,563.52x = 407,340.80 × 111,607.04
  4. Step 4: Simplify right side
    271,563.52x = 45,462,100,959.23
  5. Step 5: Solve for x
    x = 45,462,100,959.23/271,563.52
  6. Step 6: Final answer
    x = 167,408.72

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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.