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Finding the Fourth Proportional to 271,810.56, 407,637.12 and 94,310.40

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Solution

The fourth proportional to 271,810.56, 407,637.12 and 94,310.40 is: 141,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.56 : 407,637.12 = 94,310.40 : x
  2. Step 2: Convert to fraction form
    271,810.56/407,637.12 = 94,310.40/x
  3. Step 3: Cross multiply
    271,810.56x = 407,637.12 × 94,310.40
  4. Step 4: Simplify right side
    271,810.56x = 38,444,419,842.05
  5. Step 5: Solve for x
    x = 38,444,419,842.05/271,810.56
  6. Step 6: Final answer
    x = 141,438.29

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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.