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Finding the Fourth Proportional to 109,464.20, 163,850.70 and 106,008.20

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Solution

The fourth proportional to 109,464.20, 163,850.70 and 106,008.20 is: 158,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.20 : 163,850.70 = 106,008.20 : x
  2. Step 2: Convert to fraction form
    109,464.20/163,850.70 = 106,008.20/x
  3. Step 3: Cross multiply
    109,464.20x = 163,850.70 × 106,008.20
  4. Step 4: Simplify right side
    109,464.20x = 17,369,517,775.74
  5. Step 5: Solve for x
    x = 17,369,517,775.74/109,464.20
  6. Step 6: Final answer
    x = 158,677.61

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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.