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Finding the Fourth Proportional to 271,402.36, 406,559.22 and 138,277.24

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Solution

The fourth proportional to 271,402.36, 406,559.22 and 138,277.24 is: 207,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,402.36 : 406,559.22 = 138,277.24 : x
  2. Step 2: Convert to fraction form
    271,402.36/406,559.22 = 138,277.24/x
  3. Step 3: Cross multiply
    271,402.36x = 406,559.22 × 138,277.24
  4. Step 4: Simplify right side
    271,402.36x = 56,217,886,838.15
  5. Step 5: Solve for x
    x = 56,217,886,838.15/271,402.36
  6. Step 6: Final answer
    x = 207,138.53

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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.