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Finding the Fourth Proportional to 178,471.16, 246,310.78 and 106,851.12

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Solution

The fourth proportional to 178,471.16, 246,310.78 and 106,851.12 is: 147,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.16 : 246,310.78 = 106,851.12 : x
  2. Step 2: Convert to fraction form
    178,471.16/246,310.78 = 106,851.12/x
  3. Step 3: Cross multiply
    178,471.16x = 246,310.78 × 106,851.12
  4. Step 4: Simplify right side
    178,471.16x = 26,318,582,711.07
  5. Step 5: Solve for x
    x = 26,318,582,711.07/178,471.16
  6. Step 6: Final answer
    x = 147,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.