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Finding the Fourth Proportional to 180,529.50, 271,056.72 and 133,290.30

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Solution

The fourth proportional to 180,529.50, 271,056.72 and 133,290.30 is: 200,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,529.50 : 271,056.72 = 133,290.30 : x
  2. Step 2: Convert to fraction form
    180,529.50/271,056.72 = 133,290.30/x
  3. Step 3: Cross multiply
    180,529.50x = 271,056.72 × 133,290.30
  4. Step 4: Simplify right side
    180,529.50x = 36,129,231,525.82
  5. Step 5: Solve for x
    x = 36,129,231,525.82/180,529.50
  6. Step 6: Final answer
    x = 200,129.24

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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.