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Finding the Fourth Proportional to 223,537.50, 335,240.64 and 65,728.44

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Solution

The fourth proportional to 223,537.50, 335,240.64 and 65,728.44 is: 98,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,537.50 : 335,240.64 = 65,728.44 : x
  2. Step 2: Convert to fraction form
    223,537.50/335,240.64 = 65,728.44/x
  3. Step 3: Cross multiply
    223,537.50x = 335,240.64 × 65,728.44
  4. Step 4: Simplify right side
    223,537.50x = 22,034,844,291.80
  5. Step 5: Solve for x
    x = 22,034,844,291.80/223,537.50
  6. Step 6: Final answer
    x = 98,573.37

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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.