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Finding the Fourth Proportional to 271,213.50, 406,820.28 and 105,001.50

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Solution

The fourth proportional to 271,213.50, 406,820.28 and 105,001.50 is: 157,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,213.50 : 406,820.28 = 105,001.50 : x
  2. Step 2: Convert to fraction form
    271,213.50/406,820.28 = 105,001.50/x
  3. Step 3: Cross multiply
    271,213.50x = 406,820.28 × 105,001.50
  4. Step 4: Simplify right side
    271,213.50x = 42,716,739,630.42
  5. Step 5: Solve for x
    x = 42,716,739,630.42/271,213.50
  6. Step 6: Final answer
    x = 157,502.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.