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Finding the Fourth Proportional to 178,116.64, 267,283.52 and 92,736.16

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Solution

The fourth proportional to 178,116.64, 267,283.52 and 92,736.16 is: 139,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,116.64 : 267,283.52 = 92,736.16 : x
  2. Step 2: Convert to fraction form
    178,116.64/267,283.52 = 92,736.16/x
  3. Step 3: Cross multiply
    178,116.64x = 267,283.52 × 92,736.16
  4. Step 4: Simplify right side
    178,116.64x = 24,786,847,276.08
  5. Step 5: Solve for x
    x = 24,786,847,276.08/178,116.64
  6. Step 6: Final answer
    x = 139,160.76

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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.