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Finding the Fourth Proportional to 180,707.82, 271,062.34 and 45,771.85

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Solution

The fourth proportional to 180,707.82, 271,062.34 and 45,771.85 is: 68,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,707.82 : 271,062.34 = 45,771.85 : x
  2. Step 2: Convert to fraction form
    180,707.82/271,062.34 = 45,771.85/x
  3. Step 3: Cross multiply
    180,707.82x = 271,062.34 × 45,771.85
  4. Step 4: Simplify right side
    180,707.82x = 12,407,024,767.13
  5. Step 5: Solve for x
    x = 12,407,024,767.13/180,707.82
  6. Step 6: Final answer
    x = 68,657.93

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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.