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Finding the Fourth Proportional to 271,901.80, 407,841.90 and 94,449.16

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Solution

The fourth proportional to 271,901.80, 407,841.90 and 94,449.16 is: 141,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,901.80 : 407,841.90 = 94,449.16 : x
  2. Step 2: Convert to fraction form
    271,901.80/407,841.90 = 94,449.16/x
  3. Step 3: Cross multiply
    271,901.80x = 407,841.90 × 94,449.16
  4. Step 4: Simplify right side
    271,901.80x = 38,520,324,867.80
  5. Step 5: Solve for x
    x = 38,520,324,867.80/271,901.80
  6. Step 6: Final answer
    x = 141,669.99

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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.