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Finding the Fourth Proportional to 271,509.84, 407,101.08 and 121,723.04

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Solution

The fourth proportional to 271,509.84, 407,101.08 and 121,723.04 is: 182,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,509.84 : 407,101.08 = 121,723.04 : x
  2. Step 2: Convert to fraction form
    271,509.84/407,101.08 = 121,723.04/x
  3. Step 3: Cross multiply
    271,509.84x = 407,101.08 × 121,723.04
  4. Step 4: Simplify right side
    271,509.84x = 49,553,581,044.88
  5. Step 5: Solve for x
    x = 49,553,581,044.88/271,509.84
  6. Step 6: Final answer
    x = 182,511.18

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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.