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Finding the Fourth Proportional to 151,183.60, 208,662.24 and 100,106.24

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Solution

The fourth proportional to 151,183.60, 208,662.24 and 100,106.24 is: 138,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,183.60 : 208,662.24 = 100,106.24 : x
  2. Step 2: Convert to fraction form
    151,183.60/208,662.24 = 100,106.24/x
  3. Step 3: Cross multiply
    151,183.60x = 208,662.24 × 100,106.24
  4. Step 4: Simplify right side
    151,183.60x = 20,888,392,276.38
  5. Step 5: Solve for x
    x = 20,888,392,276.38/151,183.60
  6. Step 6: Final answer
    x = 138,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.