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Finding the Fourth Proportional to 225,744.97, 311,484.19 and 133,847.28

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Solution

The fourth proportional to 225,744.97, 311,484.19 and 133,847.28 is: 184,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,744.97 : 311,484.19 = 133,847.28 : x
  2. Step 2: Convert to fraction form
    225,744.97/311,484.19 = 133,847.28/x
  3. Step 3: Cross multiply
    225,744.97x = 311,484.19 × 133,847.28
  4. Step 4: Simplify right side
    225,744.97x = 41,691,311,259.89
  5. Step 5: Solve for x
    x = 41,691,311,259.89/225,744.97
  6. Step 6: Final answer
    x = 184,683.24

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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.