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Finding the Fourth Proportional to 133,495.32, 200,249.46 and 110,078.76

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Solution

The fourth proportional to 133,495.32, 200,249.46 and 110,078.76 is: 165,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,495.32 : 200,249.46 = 110,078.76 : x
  2. Step 2: Convert to fraction form
    133,495.32/200,249.46 = 110,078.76/x
  3. Step 3: Cross multiply
    133,495.32x = 200,249.46 × 110,078.76
  4. Step 4: Simplify right side
    133,495.32x = 22,043,212,247.47
  5. Step 5: Solve for x
    x = 22,043,212,247.47/133,495.32
  6. Step 6: Final answer
    x = 165,123.48

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1.5x scale

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.