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Finding the Fourth Proportional to 271,751.37, 407,233.39 and 153,170.40

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Solution

The fourth proportional to 271,751.37, 407,233.39 and 153,170.40 is: 229,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,751.37 : 407,233.39 = 153,170.40 : x
  2. Step 2: Convert to fraction form
    271,751.37/407,233.39 = 153,170.40/x
  3. Step 3: Cross multiply
    271,751.37x = 407,233.39 × 153,170.40
  4. Step 4: Simplify right side
    271,751.37x = 62,376,101,239.66
  5. Step 5: Solve for x
    x = 62,376,101,239.66/271,751.37
  6. Step 6: Final answer
    x = 229,533.71

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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.