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Finding the Fourth Proportional to 299,056.50, 412,692.30 and 163,091.52

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Solution

The fourth proportional to 299,056.50, 412,692.30 and 163,091.52 is: 225,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,056.50 : 412,692.30 = 163,091.52 : x
  2. Step 2: Convert to fraction form
    299,056.50/412,692.30 = 163,091.52/x
  3. Step 3: Cross multiply
    299,056.50x = 412,692.30 × 163,091.52
  4. Step 4: Simplify right side
    299,056.50x = 67,306,614,499.30
  5. Step 5: Solve for x
    x = 67,306,614,499.30/299,056.50
  6. Step 6: Final answer
    x = 225,063.21

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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.