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Finding the Fourth Proportional to 231,184.80, 347,295.60 and 161,200.80

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Solution

The fourth proportional to 231,184.80, 347,295.60 and 161,200.80 is: 242,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,184.80 : 347,295.60 = 161,200.80 : x
  2. Step 2: Convert to fraction form
    231,184.80/347,295.60 = 161,200.80/x
  3. Step 3: Cross multiply
    231,184.80x = 347,295.60 × 161,200.80
  4. Step 4: Simplify right side
    231,184.80x = 55,984,328,556.48
  5. Step 5: Solve for x
    x = 55,984,328,556.48/231,184.80
  6. Step 6: Final answer
    x = 242,162.67

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1.5x scale

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.