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Finding the Fourth Proportional to 229,224, 343,798.24 and 60,754.80

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Solution

The fourth proportional to 229,224, 343,798.24 and 60,754.80 is: 91,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,224 : 343,798.24 = 60,754.80 : x
  2. Step 2: Convert to fraction form
    229,224/343,798.24 = 60,754.80/x
  3. Step 3: Cross multiply
    229,224x = 343,798.24 × 60,754.80
  4. Step 4: Simplify right side
    229,224x = 20,887,393,311.55
  5. Step 5: Solve for x
    x = 20,887,393,311.55/229,224
  6. Step 6: Final answer
    x = 91,122.19

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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.