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Finding the Fourth Proportional to 422,035.38, 633,030.66 and 106,495.02

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Solution

The fourth proportional to 422,035.38, 633,030.66 and 106,495.02 is: 159,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,035.38 : 633,030.66 = 106,495.02 : x
  2. Step 2: Convert to fraction form
    422,035.38/633,030.66 = 106,495.02/x
  3. Step 3: Cross multiply
    422,035.38x = 633,030.66 × 106,495.02
  4. Step 4: Simplify right side
    422,035.38x = 67,414,612,797.31
  5. Step 5: Solve for x
    x = 67,414,612,797.31/422,035.38
  6. Step 6: Final answer
    x = 159,736.88

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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.