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Finding the Fourth Proportional to 271,822.40, 407,587.80 and 113,872.40

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Solution

The fourth proportional to 271,822.40, 407,587.80 and 113,872.40 is: 170,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,822.40 : 407,587.80 = 113,872.40 : x
  2. Step 2: Convert to fraction form
    271,822.40/407,587.80 = 113,872.40/x
  3. Step 3: Cross multiply
    271,822.40x = 407,587.80 × 113,872.40
  4. Step 4: Simplify right side
    271,822.40x = 46,413,000,996.72
  5. Step 5: Solve for x
    x = 46,413,000,996.72/271,822.40
  6. Step 6: Final answer
    x = 170,747.52

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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.