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Finding the Fourth Proportional to 177,175.50, 265,764.21 and 45,847.50

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Solution

The fourth proportional to 177,175.50, 265,764.21 and 45,847.50 is: 68,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,175.50 : 265,764.21 = 45,847.50 : x
  2. Step 2: Convert to fraction form
    177,175.50/265,764.21 = 45,847.50/x
  3. Step 3: Cross multiply
    177,175.50x = 265,764.21 × 45,847.50
  4. Step 4: Simplify right side
    177,175.50x = 12,184,624,617.98
  5. Step 5: Solve for x
    x = 12,184,624,617.98/177,175.50
  6. Step 6: Final answer
    x = 68,771.50

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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.