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Finding the Fourth Proportional to 223,664.85, 335,486.33 and 83,412.54

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Solution

The fourth proportional to 223,664.85, 335,486.33 and 83,412.54 is: 125,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,664.85 : 335,486.33 = 83,412.54 : x
  2. Step 2: Convert to fraction form
    223,664.85/335,486.33 = 83,412.54/x
  3. Step 3: Cross multiply
    223,664.85x = 335,486.33 × 83,412.54
  4. Step 4: Simplify right side
    223,664.85x = 27,983,764,826.08
  5. Step 5: Solve for x
    x = 27,983,764,826.08/223,664.85
  6. Step 6: Final answer
    x = 125,114.72

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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.