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Finding the Fourth Proportional to 271,207.50, 406,811.28 and 104,995.50

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Solution

The fourth proportional to 271,207.50, 406,811.28 and 104,995.50 is: 157,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,207.50 : 406,811.28 = 104,995.50 : x
  2. Step 2: Convert to fraction form
    271,207.50/406,811.28 = 104,995.50/x
  3. Step 3: Cross multiply
    271,207.50x = 406,811.28 × 104,995.50
  4. Step 4: Simplify right side
    271,207.50x = 42,713,353,749.24
  5. Step 5: Solve for x
    x = 42,713,353,749.24/271,207.50
  6. Step 6: Final answer
    x = 157,493.26

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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.