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Finding the Fourth Proportional to 223,276.32, 334,917.63 and 65,508.03

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Solution

The fourth proportional to 223,276.32, 334,917.63 and 65,508.03 is: 98,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,276.32 : 334,917.63 = 65,508.03 : x
  2. Step 2: Convert to fraction form
    223,276.32/334,917.63 = 65,508.03/x
  3. Step 3: Cross multiply
    223,276.32x = 334,917.63 × 65,508.03
  4. Step 4: Simplify right side
    223,276.32x = 21,939,794,153.57
  5. Step 5: Solve for x
    x = 21,939,794,153.57/223,276.32
  6. Step 6: Final answer
    x = 98,262.97

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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.