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Finding the Fourth Proportional to 216,086.80, 323,611.80 and 174,614.80

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Solution

The fourth proportional to 216,086.80, 323,611.80 and 174,614.80 is: 261,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.80 : 323,611.80 = 174,614.80 : x
  2. Step 2: Convert to fraction form
    216,086.80/323,611.80 = 174,614.80/x
  3. Step 3: Cross multiply
    216,086.80x = 323,611.80 × 174,614.80
  4. Step 4: Simplify right side
    216,086.80x = 56,507,409,734.64
  5. Step 5: Solve for x
    x = 56,507,409,734.64/216,086.80
  6. Step 6: Final answer
    x = 261,503.29

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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.