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Finding the Fourth Proportional to 225,834.21, 338,783.72 and 120,595.77

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Solution

The fourth proportional to 225,834.21, 338,783.72 and 120,595.77 is: 180,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,834.21 : 338,783.72 = 120,595.77 : x
  2. Step 2: Convert to fraction form
    225,834.21/338,783.72 = 120,595.77/x
  3. Step 3: Cross multiply
    225,834.21x = 338,783.72 × 120,595.77
  4. Step 4: Simplify right side
    225,834.21x = 40,855,882,973.89
  5. Step 5: Solve for x
    x = 40,855,882,973.89/225,834.21
  6. Step 6: Final answer
    x = 180,910.96

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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.