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Finding the Fourth Proportional to 178,246.40, 267,369.60 and 158,892.80

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Solution

The fourth proportional to 178,246.40, 267,369.60 and 158,892.80 is: 238,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246.40 : 267,369.60 = 158,892.80 : x
  2. Step 2: Convert to fraction form
    178,246.40/267,369.60 = 158,892.80/x
  3. Step 3: Cross multiply
    178,246.40x = 267,369.60 × 158,892.80
  4. Step 4: Simplify right side
    178,246.40x = 42,483,104,378.88
  5. Step 5: Solve for x
    x = 42,483,104,378.88/178,246.40
  6. Step 6: Final answer
    x = 238,339.20

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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.