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Finding the Fourth Proportional to 225,647.46, 338,383.71 and 120,409.02

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Solution

The fourth proportional to 225,647.46, 338,383.71 and 120,409.02 is: 180,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,647.46 : 338,383.71 = 120,409.02 : x
  2. Step 2: Convert to fraction form
    225,647.46/338,383.71 = 120,409.02/x
  3. Step 3: Cross multiply
    225,647.46x = 338,383.71 × 120,409.02
  4. Step 4: Simplify right side
    225,647.46x = 40,744,450,905.06
  5. Step 5: Solve for x
    x = 40,744,450,905.06/225,647.46
  6. Step 6: Final answer
    x = 180,566.85

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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.