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Finding the Fourth Proportional to 178,318.56, 267,435.40 and 71,702.77

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Solution

The fourth proportional to 178,318.56, 267,435.40 and 71,702.77 is: 107,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,318.56 : 267,435.40 = 71,702.77 : x
  2. Step 2: Convert to fraction form
    178,318.56/267,435.40 = 71,702.77/x
  3. Step 3: Cross multiply
    178,318.56x = 267,435.40 × 71,702.77
  4. Step 4: Simplify right side
    178,318.56x = 19,175,858,562.43
  5. Step 5: Solve for x
    x = 19,175,858,562.43/178,318.56
  6. Step 6: Final answer
    x = 107,537.09

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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.