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Finding the Fourth Proportional to 223,821.83, 335,407.43 and 143,608.14

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Solution

The fourth proportional to 223,821.83, 335,407.43 and 143,608.14 is: 215,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.83 : 335,407.43 = 143,608.14 : x
  2. Step 2: Convert to fraction form
    223,821.83/335,407.43 = 143,608.14/x
  3. Step 3: Cross multiply
    223,821.83x = 335,407.43 × 143,608.14
  4. Step 4: Simplify right side
    223,821.83x = 48,167,237,523.50
  5. Step 5: Solve for x
    x = 48,167,237,523.50/223,821.83
  6. Step 6: Final answer
    x = 215,203.48

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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.