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Finding the Fourth Proportional to 273,524.94, 411,009.03 and 147,258.54

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Solution

The fourth proportional to 273,524.94, 411,009.03 and 147,258.54 is: 221,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,524.94 : 411,009.03 = 147,258.54 : x
  2. Step 2: Convert to fraction form
    273,524.94/411,009.03 = 147,258.54/x
  3. Step 3: Cross multiply
    273,524.94x = 411,009.03 × 147,258.54
  4. Step 4: Simplify right side
    273,524.94x = 60,524,589,684.62
  5. Step 5: Solve for x
    x = 60,524,589,684.62/273,524.94
  6. Step 6: Final answer
    x = 221,276.31

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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.