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Finding the Fourth Proportional to 422,008.10, 633,013.18 and 106,465.01

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Solution

The fourth proportional to 422,008.10, 633,013.18 and 106,465.01 is: 159,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,008.10 : 633,013.18 = 106,465.01 : x
  2. Step 2: Convert to fraction form
    422,008.10/633,013.18 = 106,465.01/x
  3. Step 3: Cross multiply
    422,008.10x = 633,013.18 × 106,465.01
  4. Step 4: Simplify right side
    422,008.10x = 67,393,752,887.95
  5. Step 5: Solve for x
    x = 67,393,752,887.95/422,008.10
  6. Step 6: Final answer
    x = 159,697.77

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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.