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Finding the Fourth Proportional to 362,117.60, 543,241.20 and 151,776.80

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Solution

The fourth proportional to 362,117.60, 543,241.20 and 151,776.80 is: 227,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,117.60 : 543,241.20 = 151,776.80 : x
  2. Step 2: Convert to fraction form
    362,117.60/543,241.20 = 151,776.80/x
  3. Step 3: Cross multiply
    362,117.60x = 543,241.20 × 151,776.80
  4. Step 4: Simplify right side
    362,117.60x = 82,451,410,964.16
  5. Step 5: Solve for x
    x = 82,451,410,964.16/362,117.60
  6. Step 6: Final answer
    x = 227,692.36

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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.