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Finding the Fourth Proportional to 178,495.44, 267,813.27 and 78,585.54

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Solution

The fourth proportional to 178,495.44, 267,813.27 and 78,585.54 is: 117,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,495.44 : 267,813.27 = 78,585.54 : x
  2. Step 2: Convert to fraction form
    178,495.44/267,813.27 = 78,585.54/x
  3. Step 3: Cross multiply
    178,495.44x = 267,813.27 × 78,585.54
  4. Step 4: Simplify right side
    178,495.44x = 21,046,250,442.12
  5. Step 5: Solve for x
    x = 21,046,250,442.12/178,495.44
  6. Step 6: Final answer
    x = 117,909.18

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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.