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Finding the Fourth Proportional to 264,034.60, 396,246.30 and 106,376.20

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Solution

The fourth proportional to 264,034.60, 396,246.30 and 106,376.20 is: 159,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034.60 : 396,246.30 = 106,376.20 : x
  2. Step 2: Convert to fraction form
    264,034.60/396,246.30 = 106,376.20/x
  3. Step 3: Cross multiply
    264,034.60x = 396,246.30 × 106,376.20
  4. Step 4: Simplify right side
    264,034.60x = 42,151,175,658.06
  5. Step 5: Solve for x
    x = 42,151,175,658.06/264,034.60
  6. Step 6: Final answer
    x = 159,642.62

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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.