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Finding the Fourth Proportional to 271,738.72, 407,583.92 and 94,241.76

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Solution

The fourth proportional to 271,738.72, 407,583.92 and 94,241.76 is: 141,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,738.72 : 407,583.92 = 94,241.76 : x
  2. Step 2: Convert to fraction form
    271,738.72/407,583.92 = 94,241.76/x
  3. Step 3: Cross multiply
    271,738.72x = 407,583.92 × 94,241.76
  4. Step 4: Simplify right side
    271,738.72x = 38,411,425,968.50
  5. Step 5: Solve for x
    x = 38,411,425,968.50/271,738.72
  6. Step 6: Final answer
    x = 141,354.26

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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.