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Finding the Fourth Proportional to 223,502.70, 335,221.65 and 65,714.70

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Solution

The fourth proportional to 223,502.70, 335,221.65 and 65,714.70 is: 98,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,502.70 : 335,221.65 = 65,714.70 : x
  2. Step 2: Convert to fraction form
    223,502.70/335,221.65 = 65,714.70/x
  3. Step 3: Cross multiply
    223,502.70x = 335,221.65 × 65,714.70
  4. Step 4: Simplify right side
    223,502.70x = 22,028,990,163.26
  5. Step 5: Solve for x
    x = 22,028,990,163.26/223,502.70
  6. Step 6: Final answer
    x = 98,562.52

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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.