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Finding the Fourth Proportional to 180,858.35, 271,321.55 and 72,795.98

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Solution

The fourth proportional to 180,858.35, 271,321.55 and 72,795.98 is: 109,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,858.35 : 271,321.55 = 72,795.98 : x
  2. Step 2: Convert to fraction form
    180,858.35/271,321.55 = 72,795.98/x
  3. Step 3: Cross multiply
    180,858.35x = 271,321.55 × 72,795.98
  4. Step 4: Simplify right side
    180,858.35x = 19,751,118,127.37
  5. Step 5: Solve for x
    x = 19,751,118,127.37/180,858.35
  6. Step 6: Final answer
    x = 109,207.67

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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.