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Finding the Fourth Proportional to 223,309.44, 334,997.64 and 65,519.28

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Solution

The fourth proportional to 223,309.44, 334,997.64 and 65,519.28 is: 98,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,309.44 : 334,997.64 = 65,519.28 : x
  2. Step 2: Convert to fraction form
    223,309.44/334,997.64 = 65,519.28/x
  3. Step 3: Cross multiply
    223,309.44x = 334,997.64 × 65,519.28
  4. Step 4: Simplify right side
    223,309.44x = 21,948,804,174.50
  5. Step 5: Solve for x
    x = 21,948,804,174.50/223,309.44
  6. Step 6: Final answer
    x = 98,288.74

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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.