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Finding the Fourth Proportional to 178,682.96, 267,674.07 and 103,645.46

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Solution

The fourth proportional to 178,682.96, 267,674.07 and 103,645.46 is: 155,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,682.96 : 267,674.07 = 103,645.46 : x
  2. Step 2: Convert to fraction form
    178,682.96/267,674.07 = 103,645.46/x
  3. Step 3: Cross multiply
    178,682.96x = 267,674.07 × 103,645.46
  4. Step 4: Simplify right side
    178,682.96x = 27,743,202,115.22
  5. Step 5: Solve for x
    x = 27,743,202,115.22/178,682.96
  6. Step 6: Final answer
    x = 155,264.96

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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.