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Finding the Fourth Proportional to 422,285.16, 633,431.94 and 106,742.16

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Solution

The fourth proportional to 422,285.16, 633,431.94 and 106,742.16 is: 160,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,285.16 : 633,431.94 = 106,742.16 : x
  2. Step 2: Convert to fraction form
    422,285.16/633,431.94 = 106,742.16/x
  3. Step 3: Cross multiply
    422,285.16x = 633,431.94 × 106,742.16
  4. Step 4: Simplify right side
    422,285.16x = 67,613,893,488.59
  5. Step 5: Solve for x
    x = 67,613,893,488.59/422,285.16
  6. Step 6: Final answer
    x = 160,114.30

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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.