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Finding the Fourth Proportional to 225,692.46, 338,451.21 and 120,454.02

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Solution

The fourth proportional to 225,692.46, 338,451.21 and 120,454.02 is: 180,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692.46 : 338,451.21 = 120,454.02 : x
  2. Step 2: Convert to fraction form
    225,692.46/338,451.21 = 120,454.02/x
  3. Step 3: Cross multiply
    225,692.46x = 338,451.21 × 120,454.02
  4. Step 4: Simplify right side
    225,692.46x = 40,767,808,818.36
  5. Step 5: Solve for x
    x = 40,767,808,818.36/225,692.46
  6. Step 6: Final answer
    x = 180,634.34

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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.