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Finding the Fourth Proportional to 225,745.47, 311,484.88 and 133,847.78

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Solution

The fourth proportional to 225,745.47, 311,484.88 and 133,847.78 is: 184,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,745.47 : 311,484.88 = 133,847.78 : x
  2. Step 2: Convert to fraction form
    225,745.47/311,484.88 = 133,847.78/x
  3. Step 3: Cross multiply
    225,745.47x = 311,484.88 × 133,847.78
  4. Step 4: Simplify right side
    225,745.47x = 41,691,559,022.33
  5. Step 5: Solve for x
    x = 41,691,559,022.33/225,745.47
  6. Step 6: Final answer
    x = 184,683.92

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1.5x scale

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.