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Finding the Fourth Proportional to 271,871.36, 407,811.14 and 94,384.01

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Solution

The fourth proportional to 271,871.36, 407,811.14 and 94,384.01 is: 141,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,871.36 : 407,811.14 = 94,384.01 : x
  2. Step 2: Convert to fraction form
    271,871.36/407,811.14 = 94,384.01/x
  3. Step 3: Cross multiply
    271,871.36x = 407,811.14 × 94,384.01
  4. Step 4: Simplify right side
    271,871.36x = 38,490,850,324.09
  5. Step 5: Solve for x
    x = 38,490,850,324.09/271,871.36
  6. Step 6: Final answer
    x = 141,577.44

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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.