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Finding the Fourth Proportional to 271,528.36, 407,128.22 and 121,740.84

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Solution

The fourth proportional to 271,528.36, 407,128.22 and 121,740.84 is: 182,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,528.36 : 407,128.22 = 121,740.84 : x
  2. Step 2: Convert to fraction form
    271,528.36/407,128.22 = 121,740.84/x
  3. Step 3: Cross multiply
    271,528.36x = 407,128.22 × 121,740.84
  4. Step 4: Simplify right side
    271,528.36x = 49,564,131,490.50
  5. Step 5: Solve for x
    x = 49,564,131,490.50/271,528.36
  6. Step 6: Final answer
    x = 182,537.59

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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.