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Finding the Fourth Proportional to 178,698.68, 267,378.04 and 106,387.09

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Solution

The fourth proportional to 178,698.68, 267,378.04 and 106,387.09 is: 159,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,698.68 : 267,378.04 = 106,387.09 : x
  2. Step 2: Convert to fraction form
    178,698.68/267,378.04 = 106,387.09/x
  3. Step 3: Cross multiply
    178,698.68x = 267,378.04 × 106,387.09
  4. Step 4: Simplify right side
    178,698.68x = 28,445,571,605.50
  5. Step 5: Solve for x
    x = 28,445,571,605.50/178,698.68
  6. Step 6: Final answer
    x = 159,181.77

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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.