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Finding the Fourth Proportional to 422,010.10, 633,016.18 and 106,467.01

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Solution

The fourth proportional to 422,010.10, 633,016.18 and 106,467.01 is: 159,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010.10 : 633,016.18 = 106,467.01 : x
  2. Step 2: Convert to fraction form
    422,010.10/633,016.18 = 106,467.01/x
  3. Step 3: Cross multiply
    422,010.10x = 633,016.18 × 106,467.01
  4. Step 4: Simplify right side
    422,010.10x = 67,395,339,966.22
  5. Step 5: Solve for x
    x = 67,395,339,966.22/422,010.10
  6. Step 6: Final answer
    x = 159,700.77

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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.