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Finding the Fourth Proportional to 151,506.60, 209,093.84 and 113,199.64

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Solution

The fourth proportional to 151,506.60, 209,093.84 and 113,199.64 is: 156,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,506.60 : 209,093.84 = 113,199.64 : x
  2. Step 2: Convert to fraction form
    151,506.60/209,093.84 = 113,199.64/x
  3. Step 3: Cross multiply
    151,506.60x = 209,093.84 × 113,199.64
  4. Step 4: Simplify right side
    151,506.60x = 23,669,347,414.22
  5. Step 5: Solve for x
    x = 23,669,347,414.22/151,506.60
  6. Step 6: Final answer
    x = 156,226.51

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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.