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Finding the Fourth Proportional to 271,095.36, 406,623.60 and 137,892.48

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Solution

The fourth proportional to 271,095.36, 406,623.60 and 137,892.48 is: 206,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,095.36 : 406,623.60 = 137,892.48 : x
  2. Step 2: Convert to fraction form
    271,095.36/406,623.60 = 137,892.48/x
  3. Step 3: Cross multiply
    271,095.36x = 406,623.60 × 137,892.48
  4. Step 4: Simplify right side
    271,095.36x = 56,070,336,630.53
  5. Step 5: Solve for x
    x = 56,070,336,630.53/271,095.36
  6. Step 6: Final answer
    x = 206,828.83

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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.