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Finding the Fourth Proportional to 106,214.60, 159,329.10 and 36,099.20

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Solution

The fourth proportional to 106,214.60, 159,329.10 and 36,099.20 is: 54,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,214.60 : 159,329.10 = 36,099.20 : x
  2. Step 2: Convert to fraction form
    106,214.60/159,329.10 = 36,099.20/x
  3. Step 3: Cross multiply
    106,214.60x = 159,329.10 × 36,099.20
  4. Step 4: Simplify right side
    106,214.60x = 5,751,653,046.72
  5. Step 5: Solve for x
    x = 5,751,653,046.72/106,214.60
  6. Step 6: Final answer
    x = 54,151.25

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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.