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Finding the Fourth Proportional to 271,537.68, 407,174.88 and 159,254.40

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Solution

The fourth proportional to 271,537.68, 407,174.88 and 159,254.40 is: 238,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,537.68 : 407,174.88 = 159,254.40 : x
  2. Step 2: Convert to fraction form
    271,537.68/407,174.88 = 159,254.40/x
  3. Step 3: Cross multiply
    271,537.68x = 407,174.88 × 159,254.40
  4. Step 4: Simplify right side
    271,537.68x = 64,844,391,209.47
  5. Step 5: Solve for x
    x = 64,844,391,209.47/271,537.68
  6. Step 6: Final answer
    x = 238,804.39

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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.