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Finding the Fourth Proportional to 422,043.64, 633,062.72 and 106,500.84

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Solution

The fourth proportional to 422,043.64, 633,062.72 and 106,500.84 is: 159,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,043.64 : 633,062.72 = 106,500.84 : x
  2. Step 2: Convert to fraction form
    422,043.64/633,062.72 = 106,500.84/x
  3. Step 3: Cross multiply
    422,043.64x = 633,062.72 × 106,500.84
  4. Step 4: Simplify right side
    422,043.64x = 67,421,711,452.68
  5. Step 5: Solve for x
    x = 67,421,711,452.68/422,043.64
  6. Step 6: Final answer
    x = 159,750.57

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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.