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Finding the Fourth Proportional to 271,801.22, 407,710.35 and 129,662.01

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Solution

The fourth proportional to 271,801.22, 407,710.35 and 129,662.01 is: 194,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,801.22 : 407,710.35 = 129,662.01 : x
  2. Step 2: Convert to fraction form
    271,801.22/407,710.35 = 129,662.01/x
  3. Step 3: Cross multiply
    271,801.22x = 407,710.35 × 129,662.01
  4. Step 4: Simplify right side
    271,801.22x = 52,864,543,478.80
  5. Step 5: Solve for x
    x = 52,864,543,478.80/271,801.22
  6. Step 6: Final answer
    x = 194,497.08

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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.