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Finding the Fourth Proportional to 271,142.76, 406,717.59 and 102,617.83

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Solution

The fourth proportional to 271,142.76, 406,717.59 and 102,617.83 is: 153,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,142.76 : 406,717.59 = 102,617.83 : x
  2. Step 2: Convert to fraction form
    271,142.76/406,717.59 = 102,617.83/x
  3. Step 3: Cross multiply
    271,142.76x = 406,717.59 × 102,617.83
  4. Step 4: Simplify right side
    271,142.76x = 41,736,476,508.63
  5. Step 5: Solve for x
    x = 41,736,476,508.63/271,142.76
  6. Step 6: Final answer
    x = 153,928.05

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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.